10502375664 has 160 divisors (see below), whose sum is σ = 30751031808. Its totient is φ = 3060736000.

The previous prime is 10502375629. The next prime is 10502375671. The reversal of 10502375664 is 46657320501.

It is a super-2 number, since 2×10502375664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533592 + ... + 1540424.

Almost surely, 2^10502375664 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 10502375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375515904).

10502375664 is an abundant number, since it is smaller than the sum of its proper divisors (20248656144).

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

10502375664 is a wasteful number, since it uses less digits than its factorization.

10502375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 10502375664 in words is "ten billion, five hundred two million, three hundred seventy-five thousand, six hundred sixty-four".