10610556000512 has 72 divisors (see below), whose sum is σ = 23182785816120. Its totient is φ = 4816897966080.

The previous prime is 10610556000479. The next prime is 10610556000529. The reversal of 10610556000512 is 21500065501601.

It can be written as a sum of positive squares in 4 ways, for example, as 249264541696 + 10361291458816 = 499264^2 + 3218896^2 .

It is a super-2 number, since 2×10610556000512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25930337 + ... + 26336352.

It is an arithmetic number, because the mean of its divisors is an integer number (321983136335).

Almost surely, 2^{10610556000512} is an apocalyptic number.

It is an amenable number.

10610556000512 is an abundant number, since it is smaller than the sum of its proper divisors (12572229815608).

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

10610556000512 is an equidigital number, since it uses as much as digits as its factorization.

10610556000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52266779 (or 52266765 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 10610556000512 in words is "ten trillion, six hundred ten billion, five hundred fifty-six million, five hundred twelve", and thus it is an aban number.