10656460512 has 72 divisors (see below), whose sum is σ = 30320002440. Its totient is φ = 3550314240.

The previous prime is 10656460501. The next prime is 10656460531. The reversal of 10656460512 is 21506465601.

10656460512 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 646 + 0 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10656460512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619062 + ... + 636042.

It is an arithmetic number, because the mean of its divisors is an integer number (421111145).

Almost surely, 2^10656460512 is an apocalyptic number.

10656460512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10656460512 is an abundant number, since it is smaller than the sum of its proper divisors (19663541928).

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

10656460512 is a wasteful number, since it uses less digits than its factorization.

10656460512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19176 (or 19165 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10656460512 in words is "ten billion, six hundred fifty-six million, four hundred sixty thousand, five hundred twelve".