What is the factorial of 5164? (5164!) 5164 Factorial

What is the factorial of 5164?

Here we will show you how to calculate the factorial of 5164 (aka 5164 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5164 can be written as 5164 followed by an exclamation mark like this: 5164!

Factorial of 5164 means that you multiply 5164 by every number below it. Therefore, you calculate the factorial of 5164 by multiplying 5164 by 5163, then by 5162, and so on all the way down to 1. In other words, we calculate 5164 × 5163 × 5162 × ... × 1 to get 5164 factorial.

The answer to 5164 factorial (5164!) contains 16934 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5164 factorial:

2.6290315161 × 10¹⁶⁹³³

The answer above is also sometimes written as 2.6290315161e+16933. Regardless, it means that the approximate answer to 5164! is 26290315161 followed by 16923 more digits.

Factorial Calculator
Do you need to get the factorial for another number? Calculate the factorial of another number right here!

Like we promised, below is the exact answer to 5164 factorial (5164!) with all 16934 digits:

26290315161225971217848838035969659665994593148514571628141749032402411877569343612578353851604445501207422610693121669954563271698377558466727717896384740583800659997939766224156990218278999746496850482484689638487866012563189663007525467897175714090012417315377700404951250020483975833900395703289466760663637163842300951291947481165423790444603168993369190954083453108847662864661424258960606819731772323767806329960130881976855048488164544650494097195085444197114373506899648394532555247792210399682164413223184008774228260090303088623173707457293987861453958155126683229779171756924608432762670761082143742573055948204345477690781157042659376304190958447180383655566150742919131616101866969013606634407689799444707987727192338046755299939811357335017848959607218820670872360787212159596170983204088651222096299663948615635870629933581766837415590896318401218199312700840768973830917518702684680497207192498932750249377653699808820020005837902565206412578357780165393925478306730978400085464345910266511556580144535904982331635491779048929358551066663712176627197607297701624547927296211161153897123916598106235546704234198724130178703131650818916700889087734562685243566945152723474639734698615949761246156493802347210037199584932123794378138636118273801733428990988070499269197671650094083535851852846306057601579377918953793974940569133251507162337828506464717829269034538811033927228992382723652380681574884749942001824403685750731019184358191398472992676972321823265353764795848459823855474625391018135921943999246486711129316020663140895012230220169847676733371152459723548456759707929326646064602184411265461468831364412434300215419036844537362705074601433917666042765450144312745118954567528956576549656183626372941503287459401432966985078469704388160700458903460790880154923202331318938070578359733404879976650054212433039546495835921473109267013986178905367960433636222358006022236574676156149841983231404964699704721554864577142198534294608903932184900130930652353558466772609076169227040253688026000968000845196023745803225743184580941359762807994133746537649365699291929785053108315458446364540449725764978794779503698115936615724063551470953133389557094999694985351397305395495142176096366700086325673896650651567133415373498185436509951099497157301610559406921829358521397682512759060514270559101409141749092456818137774668475487952479438475545526185075096328410112859908030631536998627138228315946414863110839845152255682227218950967303862971814426283821042008963832867900090306137142319857069095875685641044495144699807762288525258592778825656494067957784457179028534969643792576234909081738317733122100848232943941419799137259816735899082839766739620529200042016677013164047101617211485303012133602424924214348446408515223059773691977866000597543073634723355950790935051822115568407603131741128644764518116920349445941920165173253835687517316184195806053129934530457421931922564790339837044636922821543499507649069904035652007978699197488172768471096271827482472409322479697137839295679879917648928174512922828389157894867392597705428310043244518792063358832598026503924784312582569654448184580627841414127164254451202673068689193555829609787708796487901876959502723658846357010043518556172401257415155160561636446321729834142132165445420355164771795078276791207235791941067815580926382950277868283204522209751391374738855263534598734974442680346819429670700173839596842255771149207705135831733384732281904079421457471209346376034723735061516705083861350028914832026630952005293708910572120817324454689065377921832789207417876156858533832273972677784498629446625294787950778115097884333390527593140199578090854858427710154628744048855709837924659403719653940377196197889371889375408197532685785986540866526678365850955829179671206203085116780967746255726284350955709569087571970868036676661284601966349924352308306450796197703441904318105839524401361530311675375544515569167261167322264784286195636882441824331887998268128441149145567915680202060334837319831741668543888560367598362414450840737424094458625417975005934445275945324325377606279977494721873786174746497260324751953142392757500632945194944227616548905780832245442548367411871446350940092827896258946859571984492419370403350010147175605876583916476625585249257450230199849987603740747440831998347170906994412496045435519685833865490218060356652770169332886992827857754154728673536664328197764068337724642448366705459676165464400769351474892946360956710985525067753066264770734178876946148726969789130216603444467554292481409338093271779025123855959125713950462871780379357970953226326200896124923953715725370451171740430413375970689992987677760008030118753798305207058568911870240128283136234584721854076817284046047203358514640611436674784592628925118950398592653772717891545976980807258261957915222316026688673252022957816158747571917434744359662075158258331753653079352981935758614226798844181243625972074944966849785291831465330166549870546119965483982218776351355927075144572852423299151738849983695890513584523311585619855649411994826051726047676664701994037751419975973483529341430923168039137622293391479399570269460070525573677456723724281461443031005887319888972454906719876871903089626502279907255814890809688921840811910223571509541058993329142116689376026349671448843651094914587821488836075077495034766520983269784685327417147594158388892602782375125340257703895679219426744398643949708183801200114530009537874884594731614831476807197450276645888381039741734353720755068965783316241452857177932654277314652980385506904967607485241017993370955517177482843119365275326055155148106590279386278120201316457410632187584836924410236579259350244700614598326689054683641714146034179740392542016889095923211793545365351728115599066503621380439810395680651606196608044726096896266241223736653437468929088857889070032398261287157633458455767639682411947010098540789450399453207069018036565991367846721326739497045604188032171505990149337154539538113697308917221132914037760879234793953212153561906110774678948624400312202838259330182004080081671262617867402551652195486004774179157698818609419307854136808695052801961870428892609490118841526747160813740967006690575444762073413880865719345632086086646999501725679436547694503058471707805447257591194810763975686315500182907006744964152844711250544278954247167222733290983442378857805241415000656177097796272924237160557481758523020572935924373159023210576561499457868247712222049770320295949915954610853991456083874221005640504460988178967675316314275258806256704780447907928523027638920220439420230107153559975932361326779817140151809914887514972230195732681960912761497996000608132206227526484505453330229880055395446322041672827709467783814354678656134346520588187026090563607049094172514453772996092855754178259680722594959336399395977006034249479852984895445608029276401620038675512693570322199206291203294487931666237359009491334884937451447871623317108503084903593851789173796557896866887810963511322974654025917226253015216780586695994008087923035937343715360105774501529326998931947600361081084792860786934945008724153451205664884435107726791759589432215975528066008140070078370358367541810267670992605020690645678451846811168752837350931632527504427359151858680593187649936898479199191912333056533249283788883009937075939260098500366485450449641109241603706795108923498470398079159891242166214739752514014235494055216211125883029826618348365952294594681391980004480019474752689528469579417581271805919140848641268586097120777931256618350591005086872696815500951077618700732676837821869953297493899460906502315952071718027028210371496842506982591865879433427087179141555912441633405220923854976943744363360979860850584404669422949769746467898520951835288560135168727470748405206891494307595633352502575020082963676813421101415444830565931946824550360250706822900941231637714778622450951358019568766912277819173299928279572741737979718703646102442139733323871214916674311667889747682035699125742624009101305489948695892768265375973665214128147419276544233159886279560685005768988234813852813410152134382210020557942365924627342646320901555867175523916862591454478440301811293266928276242940854339901411471748458938675712456624459602353068519424371373188479651000437502902903210005801094292922380932230347735973555445716048143764761372259606863194545521699829365460866729184915786445794645392830374462446165022682026443053320893403012845649029423206681636528280614412359247519926872085666732787637015670279993260249757300637198020267398910069235508966716701569238419170432166663483368321387668347352691184263834235411596901310003156925348155689545494765194094009406004950032066607983655011634452559353291494733946193279145039118958107651886850090232700074936364271066323654062395059740596859694909027554387013244040726622535490409605586261652440497464675556025932435351527487210281962506356211275996571846193986247592073864108450498884236378797643842478024766992403490724093095127135477636995955725144955713985306669723401713369104114858891462539688218302655411947524206967300908682527328398274070330882267102110452133662956389072339704762069764099029903545369236144477236740713445401057138787957522005538388415583389060952220072133429334499621362874165852233293619933659918367789450962796682666352450061630929425125856272692707422842255986687350712013032998026909062134028335797115403179425140689063712764145134698928773186240139121770021480174607521583613358885556986123608369590558592935249937209174540099954541315245616522560810145578564489527663400963429778158341341539678198004129612200926805592479278379077221764022267566989329969757887809437293382317679843428507591252543107254450735281011844799577365577128550089378242365417687248639213033491877542913546151600598612590087015381796713694275257905858005415690702329044341998641024663396127779670350807921890196393894264381124630128785543557372152374088612106204794903681088484009258729593384860504374186189678249818618147112083850181671479451864366916501822321813633420205081438727497755936498516980639907669334050985037940104786055966939172275071076057977024106190944214499681061071703349172456224979732677171178906940030201009728990090914842334043009121165035585493199870222409740573219261495797395587446966552523427830788157817035114272829312062895471238222582386224005689981691105834543359603959900226287303919094390929409448754783889322446225292059884794166873681703505662060564999519788751666259702779914819309409625211406703984385119225450514543540907725007043193513410746091111834670044223795700228588327093258590508778620582908771038368849997364719765020753910392572280490842841641754447772476015061238277923999018042550386175853397982031336478131465389777232002336039912606350007379265988194157967054376671052873701796853295007429464341660507956102927402408670320373462971881429757460785507905211280007344038793336111189424715323214513355069383744312105438207393338595168287587947745437072738166209157764886801305541184736613350536472136381026517766898282406707115942156774728895855976380396845549827552902953128668096418391356135203797805112436435612202176770475150445712518619521349214158994794163542866046341195640193707510548551731077837486020087755769189280575044208483213380518615717705422059629008812422558927986878045365740261655928183805137050040231084385401409712055581275046239632270350332884074875965285100696460377873298223858362960864908352001723379999669522689122219847086864158683897071332126280471130453299799702770530365731737992893870868078116718242104075078278330452983206656014729495498064523430747045908319161516663305135426966559960070748749006529511558163214493397724197986263861094971449034339607837905225392749667627846650220377098801645792877675612831478421667251870037562732636124632622023268865469248498861628130137383734808293657951317699469789208335394550212173402131215384391542610693822048076333615386729122344283228383633659420964768104366994095161634146176195450718868116510383434874011987489244285237329979138881169985521566432264886724953109045408281559474314878352100954010466447411825281476524123365055112688338449031882704582962878868305326971846806493708851399492629140303751447531417417466967965254730686720902977932562535707725037679770682770970757379952211391049164329335258497268277421758477035388270094027948480425097588389761456678357986278697946067938114606699108543893688186320533037934751877132583875465151256424580187127802277621068338150319005079970345686606839633987656024143683343610136279338916429709508907520162150779560685386411958670869777893699171417492171644081410970305518023061758771506379877397630959949068538630971252914018856743116051302687147516851502386170298748875052473533756151471419533847478292916221261397794616237457532425560978053517201750497548958392668473196247271677342967644143057224479791178773633182834889865837412351411169948902208532681392542750802621598475616487350355062084066695041021226057253157241397801468803985977972214574032900696617981638155333129431960439144102405759482731131099734963521060313138307696994351344143539924690479790411812567403715705850643914185074317044164726499099001237309486100562407996262050418133722881764267664436408723652967937729019940900835246812573215853558475405567959076765295746871363756843578823941389731663254048824211494219781702336783510481698769128996111221032653046828323329199251940550359365923294280091698444481749227241434302500472383710229079366268002092618947639602757394218409016249662898345698818962742179790736248147955691824272876294660149963684991780888855049033813183145757422590437047632469587287036776991689329734099212794866999688962783108153458843450525803631436332918845343701317490264202921160899888250410722182255950455760330057847615915221960031873859598636549407795828922618702390346069527156982845503982274212781201006046641727390889355724670565365894770192294896174198495600897110090226288849103934675363498227175183576012939816691614285375338707048398991410846733218489763310516432071629133813195120179967760861197703580216627317222401918894052313767584967518222759955715140393385141404738913587085359051879591259213275785464177597885695569096889339312244273832163901926742508840580457104412356835345110843957649197661436819027081620580190874091883663661489398300799077578915626962339522897992648428880709685648229306341861276121312960224186072265346538918067411470809009588346121186507444657435380538869991732208220201190793157775349385308783047154077372705416520394817344445638812285634636161175517023794741559475836734293230432424661190765612930504944475853817145960018643985198097992272826958472975122834253945728067883345086224815342113463085286539062212271592947224786553935364439341158027648840750401610145883516540240656248770497463919088344333868174866914614202347100327570898347195017821897829585256292153781124200528169937929536681312081578873870544787837027212510387701748608677612466161890389214626098899235513820689632456401345585363193461205662920068414759160515924044238370749333807216290894391182460179729742027656485066226328037871761509285944726962094549931910541170918446587766934093155292718050608795058873588558396700340404632715282939164971326921203540207384525337365103573116062288134047603270571864443602763864984900989748937732827078896536061971852303743467298030657669798459203589487399966251538447478920987472759780847516977216262532150082191671104936346964640797896187836121827084364009282953076976477342712275581768375702309379733031309643576927149556015514481688736852239174992502292029512439490534611218182315475280998518859157776263841291265004616282316560147261063317620754725163461923450901449277254360555624689041676542064372715024793102545143726080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

What is the factorial of 5165?
The factorial of 5164 is not the only problem we can solve. Go here for the next number on our list that we have calculated the factorial of!