10512612864 has 800 divisors, whose sum is σ = 37931072256. Its totient is φ = 2866544640.

The previous prime is 10512612821. The next prime is 10512612919. The reversal of 10512612864 is 46821621501.

It is a happy number.

10512612864 is a `hidden beast` number, since 1 + 0 + 512 + 61 + 2 + 86 + 4 = 666.

It is a super-3 number, since 3×10512612864³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 79 ways as a sum of consecutive naturals, for example, 284124654 + ... + 284124690.

Almost surely, 2^10512612864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965536128).

10512612864 is an abundant number, since it is smaller than the sum of its proper divisors (27418459392).

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

10512612864 is a wasteful number, since it uses less digits than its factorization.

10512612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10512612864 in words is "ten billion, five hundred twelve million, six hundred twelve thousand, eight hundred sixty-four".