What is the factorial of 5005? (5005!) 5005 Factorial

What is the factorial of 5005?

Here we will show you how to calculate the factorial of 5005 (aka 5005 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5005 can be written as 5005 followed by an exclamation mark like this: 5005!

Factorial of 5005 means that you multiply 5005 by every number below it. Therefore, you calculate the factorial of 5005 by multiplying 5005 by 5004, then by 5003, and so on all the way down to 1. In other words, we calculate 5005 × 5004 × 5003 × ... × 1 to get 5005 factorial.

The answer to 5005 factorial (5005!) contains 16345 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5005 factorial:

1.3253993891 × 10¹⁶³⁴⁴

The answer above is also sometimes written as 1.3253993891e+16344. Regardless, it means that the approximate answer to 5005! is 13253993891 followed by 16334 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 5005 factorial (5005!) with all 16345 digits:

1325399389113626515764386708858589285087699057938000288096127066929877739952130243396845410606950110419873599658120408026461469867238612521739340044543794918452162791046991414145677825660741581549140306396081823653147521998117782351072345375627126096208573484327584199899060963160810957986727033543588926661454134721738209098725800287347248917597410599003929098030235904181462360067010133612966323095354148009673539844272769876266105392423763911116944131810135243004961883339435742916508541575362788177538002557747056367441243225451692011277282699152753134696728768758182765432266251663954630736697635806026005635333967862971140318554292311062227720251242934965146525995993941214471745271215840835891956740974316222958985505418958750822634265432723570200789127283690759700292953340596637643508799984806552736877237206066515928356434346306215944337410725589218914189622478672503682591659738068310843595732019802694557444213105783837425459605470417517835504771813055128903270603379608247521641958708341288644612638613882837794634992880309285269746890340560719632388617120807176001114203894422214157583400366870796107501005928044322790578404938401211605612021355657653441048574235835821280772371367804316624798355913813809406788539837083216214611499671815069269197771207167927840100021725785789721176915557930386252573029702093931616309490414212211136356025590903559314729179075254279925319724831906466459684487829589925789563349220330023142525020770845987419134300593593708010617839073426525380593530482265816506758536567006325351896592553908660901128090472951443113931635619305467976814005864874407832571051579436308493285459035039287372874323859073507198366621503531432060014857660367944593006367625983856588298267680623127884864200965208222275843676390031378932745562478650513977390243526277135440472028425926845541080288405207956537611462134277391098098228235232639857980863732616516353699470486678867880801694609532338481900886092628110400136058910592924832665758638895876618480471635488876632400532743317971612862645826837017634433518046286459772360700513945638531540684035956811907749960312413558776709060715337734934967351548832331126894355870318869120060721715032649733084051995845861047581266940737179651731198875524635475416903982048186999185441820218916968482497652581313592322078792408367830540817053212388896635955367373287590082683229258452336438763214002639600287004973931479211958925694465045741717564639988650504762218377344838845933011904042215167573079561326883462871028366887338601811705210417259121890455599230882037720335087330732892527073885344168906544354633411398265281505954597836138855786414752763521506701722426094366796186901750338386912820119514868747609062036444953758859128562754957246842208796138590252796246663141509837749207184967064797331358171472793662436263194318057690148022211436741330526741252995622490744430233118194082419562055948862074414723700132304817048169357937422243040456206361209911630811411255676287309932871507725978379039303299469559194346976756545505889356833345850251684283360179630579387667532569459394453839785538638417113230506705648653190527943949377708529634288943561620114361614454815645919990611855752026290221377473357093521635945753700440852398885447145364225868978085372146611685304121274270336155067782527817832028372057745968113234738048637141498066111494546793666808375813240325629989116578723948079149786103995338410459008939646671583092894814536507715310443570423226739614495880274728553778332032125130570653593190086857664925586501303002304643501145544031953205817420733040275703881418815711874959059949720673356205732174949926667173485890948204088657312185224565964205709686321089894190951850179885151342345665515047237275136849661661904099761950037036781767396693882458936133270039750554494813221078612115634842520582866732794049060992027851333288851287686959130992824475870196147517925947717926264389851851027809138392065021733690127285179638057586679197239405092963297917340924741432321224943281996004718138624533173111317040679631301743670284228201308135694471999594577719236073452848927204451362681203474436735320227623499035312241682206195571037368374735415198457032425507966677699594681953755094368798615986075286700123924126204921746717438923774287368158587002984383567707078487374033634222193979728626492130885056487368098269276475902638012887417533301456079621113053579218183360366687799947041317593930223031600543040149918918402434058353739266831353539197419742368883818176832082435765246334443073919437144732131008927887816052325030438366962343667259585275933379440633283119164772700157670668868618334985475283083909519278688217038527535742926101908098742510479760012163890323563448968134410224016493282269867241368761374817546863734734592258467207609715454814130943594169748128084608858707595246687680228852550121578592975550341283402513325482707025312221813780568375527450327564908897588325331593751275757369793225412476751068365336551336837646774013095844415419525600574630908931777259381996172527102300111099374866639776895288172138258751195523171130113993220795688064901941480062405254177801815625362306162762156131392760416961938801272992063591794023811421628599436562740008613472294783595644368663427516645421297411457304982397258770532138212020962189168547625579744120839780559575551958320540193368450092981469300869262117945341336266360147036718187695881048229860471640148492012845967323064595139280817922802149971759931789949048078807036640678707775198747723337406364514914123805342495117568975316815383662254620576323236777337787466797322099464299515789845158724658181884525036128367715503817562665911115633980204715471573959267785022636091916197055528178504887697685318400111485167704357075950908354696175437185600776864308038708489748690273677106492631990340922646299987830591121429342828401544551396880727678044533835526714131815748896748425531145403310570292540387101599775792098006829560804712070568009879435236694841576462566653012362563144315510050374296149589281823078338619522583068356542950681577423408953170383907321085464338977540622106938237694969261337938965423657373030412183611189472903127800296276083151813115160747513733667897068353388649526575443910289087773534576823072030719628834835722498279569136148742436198345438539787465142777483194903845652354956962483443909943844065235788944738437825864076805469837840241449822360536935434924495999753742135853507752877454009661478880632668291792475772028164356499749609579810038826816354208093036603004327782987692726657190497240891712790875099981188101587931981971682373908076133143878510275532911101831256328326642875819882223674209459455688416642488346316042790199587073483778358408960502588239201274646122709142704394202647287154526324466107060721726456846300061430420784723845105808327321847404119008728510803082905987436060285271399390309416962321784734621558541421329420787565861643474909230937251237846333133901085954498810567198778722520825667926772902937375575406813383927494204002353544136314743794134403722918940762388626835962719412114478883183361292830856660374339678341803193639218256009211949154144129065423599229108034634085905006465065268060547243107918021826964876238193145106513910121374737153598050648148632954191967663946278817986630572044993347318735971411318846411965503988797825988253453660318752547353733706836688519897810281791071091357049089380258155515838369496287456646517917545343723565055740459592637014963592567720231353207159796302481390736343903383488980236794746029666270874458282350451393309160336959056736695874466661083071941336851691340862566653668421890844220531012504576356928807519170400900162853356984610333196450557951376581699056315524789557919283939017520216610004892988041455185897046554061179402283839106898100256346880031951362557388101243120566372256277628546224946240454118790193103646478930487150976081146159506060450464055228309981454580990319679051001845839620130251191481365156018758664498076875787998055268940530689509185956832770382104078856134311753365158676132667962606341885369405262653652467916498235631389778518939300365928091805438959768958176951975138256754554983416471104017317100437106455086131448734384892374386870514589795684519779043171269434563897815308271073352196567562025111254878143672150677885259112212441455840560374159270561180702709883149029123025981819437649455604912590002031097175188838941358818646496353768170661176183949997989245296104930669904757314304005459036574879334287655346456503206459057923746846750920128449833897399777050926698776512997030918223475072347819546312980610407523349197852218943391987062741627115931930412187017352406916741361726842964065997813374953528122065705529733706818174926764298244897472014773039758010875028414378749216225844566376647648983466264972062967905073573221020917660531280243218418240556733849065131563135648123821672523010398022690160845794354033962932816141778644523061466591128927929682278064497070299773740276089426175235045690575400026795824309475264763081822261082444849831413915847252589375752897520958302576221319037413544998480855612827698291285317587935899014110019722566710111209762416578645302185123909433819705101793712090067115567745740286456397938377325973067037860815179461348155618206430188050900369612155024321462746363944569434437654125506129759716767377108485372121014532463235225490271072127958702741378669362675751292190530451997413601504707104759318245692362534978922490118632805557674256959829033280231645903112025157480319166966270815838731466655804501592092866994441569880225468957930481793587504755646552801444215494060131370154493080273692800330942037090370683909309048605600319185481628295885317752622079707492619262469891204535460451929052048502131426008720114977731955244745615284410429025988199384481928726329465833504260874321144824601876926013901424225630897560348036189753507565362023491365467063398628777877654288820891490014014912351083918538074469825476275211072934677154207421534998565885045401803332983046457496063310833527304626094200285326702151997688541439571929635654808752438294409299750416326109034257734037947696119688620116698711744503519652076485122999123309450237788397578317729013895267310771862823546293951301430998867860031005914407092316127378177588007572659419333462275479376842984353251129961913552114143141338596507509826711004025085776109402423806533480476572649028035633756356333769503613208056177526599148032294016394734749620914096588484849450551844200648754663489450420412450744278354763440776909634812472393291525977951505177016915903747037563308062556182726167970192427951094899677914169914665082003402024993820095032052358902899028278072938164295905776902880584734478014407280312714555263426269125628712999575539421414701485481488175433135734657788241983519464084857474390553630986340680785548896209594887717136977053152971009775355813815952622268832788609099343817989565160314653184356727164984778953455730147674153715140960183008168670861809667957465213904631955048002331391452976645116692494642639499058375578531559852801432558655834966982636722202289016868936579244562624981814501707769313778258093132374410184015212775636857944288840211750300209322592888547916898005699506886429326328487847943123979479590136225505186651441130037233743414582972113179668724473086059304130485552061074633207245784739240637814418858815660742019521272516528935170603214221222677249743040248379283790197413473090880219247514367105056294463562703310296173122015798787857118123797436603155956760543881366920942784302797353182586618834529508240937946704550474365675814004215924794732074138306473453523666606002805661328704713118041616442597941641007609387472345740711225499598479349664159195369134978239352902109289209671964356135197199244808316162946575855459334927596781074407097113434726555797069520061786636455721575663810715689472237661155541813353091889593668220597329257073479440464832142039715506158856734397641019025095268691715598712676287037428954459769896690822515639861828142664144323451701068365877828407352310208967385772550081743499133853750248533987005110694103763576510747360653250331252436053871997018586501052106980655478148028354687272926729787419830881403758461970484407340855832424764154702283142327382574988640893843829819808836319759029024474131342640274721676245748726589234169837561803229186842687643571173372421989479779625221076147207942198601049167809757667656272419144994448063789762322300849945224161069917379159538505370926007694299280825306583445163679236145555841218337477012845067133232166448814788256067636158829710712111848045749587896279316542313324562931047268877621193894935126108446948055371916375945255077612428327747598431507318024462289185120628508825464477683908154084530945018004879524517709308890685296194344708358301520049644935737286544281889821276955390786754669934993334603246220271995939432928410991403536300712357896216243326965207942518305076510179329323028702601355059153915316128859729972497479475082458390413530437419575107944119175318817140589960244477565049211271785809309597863801110389311548420806407551625575719520462605076718046259970258691615160550698434187408631336318229389752879728458055761169197509481583247058991394609354611841808507103700098785445002902433257132388743741913076861846497034997990079817501043207135199156463735065545680205143623028539483511047467903811222099742543577333454057087733334812023835726341057192971657627506119336109075512418105619665019678275910445216320007048869963777387878918634642090852869008298093413046716709223733425871953720060355542890103652923010233024527463624004092545413065617490414770893293745789900177741703123646130771984978228934411819727990318756656367371294172626724764782494472178325922212273818701071201769662274628865948624968614269373762034391602182183562426889721342037361607508337602770528521215752294622708071425011985208892556669823435729991569975400534047452734917087722079919864356992701190002032522468161694912579101258228424331294624130055589509621715273568275666543522739760816552992324936986507034439839764008234000415871715130103197485068118235915970845194484536562336616813830474277932983121942705240152225425657410760739756251273733398507867714577520886506818704846979227640144707798611433469515168782675693380062850815493053584964117555974522218247664514441245693022673583602512352723449733144761735638898207735083697978964546497527795631198358219021430940312092989788315938040105833713197572480556335146628702356634227148122032373892165402190795758143877025079953278062272838338802484973400472344332348390125965217705645409976617253787750430258378920731122743969081276324048284316654108214729525843798384374651193602791173731933174375608218081736689341985979183933628148338961243878954296880325695065773625202069352747774813592405780659532676396227864660361502163459313563097199979399408746837707601946335527414691104475395414798548279123135148388238352046801246128850036102631657486518259460418152085843505699276768411552560745970730386589046386573814600970460393881615119870679061464973618381378631650161037918074982740102290586610294131893979358256494796542838327000982192816039111896947595513059163688097818673021242243966566400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

What is the factorial of 5006?
The factorial of 5005 is not the only problem we can solve. Go here for the next number on our list that we have calculated the factorial of!