10521786564 has 36 divisors (see below), whose sum is σ = 26642885724. Its totient is φ = 3501176832.

The previous prime is 10521786491. The next prime is 10521786577. The reversal of 10521786564 is 46568712501.

10521786564 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 7 + 86 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6970580100 + 3551206464 = 83490^2 + 59592^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10521786564² (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 11 ways as a sum of consecutive naturals, for example, 232497 + ... + 274040.

It is an arithmetic number, because the mean of its divisors is an integer number (740080159).

Almost surely, 2^10521786564 is an apocalyptic number.

It is an amenable number.

10521786564 is an abundant number, since it is smaller than the sum of its proper divisors (16121099160).

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

10521786564 is a wasteful number, since it uses less digits than its factorization.

10521786564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507124 (or 507119 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10521786564 in words is "ten billion, five hundred twenty-one million, seven hundred eighty-six thousand, five hundred sixty-four".