What is the factorial of 5382? (5382!) 5382 Factorial

What is the factorial of 5382?

Here we will show you how to calculate the factorial of 5382 (aka 5382 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5382 can be written as 5382 followed by an exclamation mark like this: 5382!

Factorial of 5382 means that you multiply 5382 by every number below it. Therefore, you calculate the factorial of 5382 by multiplying 5382 by 5381, then by 5380, and so on all the way down to 1. In other words, we calculate 5382 × 5381 × 5380 × ... × 1 to get 5382 factorial.

The answer to 5382 factorial (5382!) contains 17745 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5382 factorial:

6.7705652855 × 10¹⁷⁷⁴⁴

The answer above is also sometimes written as 6.7705652855e+17744. Regardless, it means that the approximate answer to 5382! is 67705652855 followed by 17734 more digits.

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Like we promised, below is the exact answer to 5382 factorial (5382!) with all 17745 digits:

67705652855690717682910100376751522463944866440504455699626186458633276444891631690900024090742832597193862722937732010779868074942538814619238398505368810121194222316146955888083235823582696199789805472295674095992920590325854740786857307768527703187737381416982930984060687381857578880434307902935473277669867591671809351353428067378719456268447693080626126402766663064443015402942874668478960495198572131884845308594195279346529112414351204048414437193833659348029854726214848722319475018208094370336039239616126696579628885694524770568816523655013722566342517124617219762068525614560176805481289756070062248595554862151297094701945683390375047956492739264241200728818081578532819171939035423267064017048028212869822558021025032051063197432211051975118592215791744038662093759659747211691228312653850259597093188840212610912503878111857041589766538432642511751573175628928416251267773325345828753728961653431302763825215948793752260174319387838652047428244323843637424688461052687828468666704974897710208641171526419966784328641454330203970218035143713108360964827323299954686829377190237720310184152124095289600437065764476390355845234021498470866781567704608400424187630516714630001070366863344553575305784689093103416190925477291949024767403273751932066698391678235951744408432707338534501799100974703749270098988917404770418680756649207874109773469153176282781657786681911483507970816756470244103582809857399355911613623751167869035479668565279852461845860060565909331190049065233742316869770745181192713792862945419224241272266391266714654266029564441745264899480769761809229073113180687226301266060361847888874180043427630240846769767928617942774317895506313992287015053507363840493264038614671584449597183862244538702693698321923604949517541074010892579652147483726247426982132094430263625396022381162541066222595618076089711503775240052795175689525972814557312758149109576216539773270290584427660194359452645416789165148344869299169868913700399013911563906235902494047071520641246639693983799431551774386917645907062331827937190558187016438257877632700446035034362321146540632194486377284228243413753372990781745438888503810667290065533750303795648978769130547992370444390970137986985618829933304161804419897747700138903200483127286069097338636749233944877417878430439558008413317958370000430175184499547842307197785647952170590207672133009119987728410949421653065603326485612449615918572978155285470099224224184572035447617180278237730156930628035176880108719757778378868814148942759624737469971283456133842953371300526165138116183764838579086397761238541019005413583794345150751139763760950997771351882071924863145592432042757158069511990274275999953534589194750671964941487055293935207972006707238401802245369116681995538550110249265736061705712839902771889892948561060583619606238338072452205528749722263537565266037903133769665667467194586323594469987206947030880091450244282454605414250763848081216875434090158698685703827088228779359994391546362690057728027609566874124305655692950768599459438834105616675119094267614452178464347796791619329210046675610692712262516773524296304869249012824681360840977434891971346043380476996860404131870472159583976883298755204865279957799536124769929370636856535435198559951305950997252378410667729646826980628559726387934788743282005958427008372604701981563659261614792683759715991860307169647369745751473631316955780239555673513818964577115941596726878645840042452021410784643627291155302262148833420948152064386154704555246193514673791135610182515758918515598880978161173338494733745054950103360496495535305249255051157184941261947988558994653153435344865708433516164081778836445043920648272093200230999730485782809868044865212111790923712244808342024194283599285475695497145421226630146428539643154140730759060932924261920663403124091010878705916258217735920510669059149664196027946098252828993766734826238705147891717653187251685004760083178261973506590293771413120674905933318124238910185577495802230677263721461149917224900436726427068737373425407082069075903981555155907603520603812164772568087517916179187328636185076377886088085588891107338591320425466684866302738571798874429524728433075582863005593267413967944993004979935258689914041548291698214054708744427640983335727894719263248863785976313608680666289769061346553116420153714434676600731460815518136093301242164299109778324850379506439077804882554631091626610953407273849308377504123209699591271677701284828915808259759764976053203094543615543031334587091213638123779223227603366120045522855985709121781383205414815062249374452434472220279499769125986150857391425051145029568090177234265302311802938186641609655020602995891903094729491503038759371261078204620919841674302388727171620235457147202052163161539729173933335654454275446147166022602545770282590484641005587856609344943732501263404249479466308981423655774514320205333130416902454136803660877719156293298600879709190396182178624829615765019234111169393416904900173189581409841486550015665269777595980619231682463006075572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