21793601894256 has 80 divisors (see below), whose sum is σ = 62556865881120. Its totient is φ = 7264399633920.

The previous prime is 21793601894243. The next prime is 21793601894257. The reversal of 21793601894256 is 65249810639712.

21793601894256 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 360 + 18 + 9 + 4 + 256 = 666.

It is a super-3 number, since 3×21793601894256³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21793601894193 and 21793601894202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21793601894257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24463306 + ... + 25338518.

It is an arithmetic number, because the mean of its divisors is an integer number (781960823514).

It is a 1-persistent number, because it is pandigital, but 2⋅21793601894256 = 43587203788512 is not.

Almost surely, 2^{21793601894256} is an apocalyptic number.

It is an amenable number.

21793601894256 is an abundant number, since it is smaller than the sum of its proper divisors (40763263986864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21793601894256 is a wasteful number, since it uses less digits than its factorization.

21793601894256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932871 (or 932859 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 21793601894256 in words is "twenty-one trillion, seven hundred ninety-three billion, six hundred one million, eight hundred ninety-four thousand, two hundred fifty-six".