10656311564160 has 512 divisors, whose sum is σ = 39197571840000. Its totient is φ = 2734070095872.

The previous prime is 10656311564141. The next prime is 10656311564167. The reversal of 10656311564160 is 6146511365601.

10656311564160 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 63 + 11 + 564 + 16 + 0 = 666.

It is a super-2 number, since 2×10656311564160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656311564167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47806246 + ... + 48028634.

It is an arithmetic number, because the mean of its divisors is an integer number (76557757500).

Almost surely, 2^{10656311564160} is an apocalyptic number.

10656311564160 is a gapful number since it is divisible by the number (10) 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 10656311564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598785920000).

10656311564160 is an abundant number, since it is smaller than the sum of its proper divisors (28541260275840).

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

10656311564160 is a wasteful number, since it uses less digits than its factorization.

10656311564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222523 (or 222505 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10656311564160 in words is "ten trillion, six hundred fifty-six billion, three hundred eleven million, five hundred sixty-four thousand, one hundred sixty".