10656976896 has 364 divisors, whose sum is σ = 33089412048. Its totient is φ = 3427909632.

The previous prime is 10656976871. The next prime is 10656976907. The reversal of 10656976896 is 69867965601.

10656976896 is a `hidden beast` number, since 1 + 0 + 6 + 569 + 7 + 68 + 9 + 6 = 666.

It is a super-2 number, since 2×10656976896² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128397271 + ... + 128397353.

Almost surely, 2^10656976896 is an apocalyptic number.

10656976896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544706024).

10656976896 is an abundant number, since it is smaller than the sum of its proper divisors (22432435152).

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

10656976896 is an frugal number, since it uses more digits than its factorization.

10656976896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 10656976896 in words is "ten billion, six hundred fifty-six million, nine hundred seventy-six thousand, eight hundred ninety-six".