10587291173872 has 80 divisors (see below), whose sum is σ = 23467125150720. Its totient is φ = 4532799308544.

The previous prime is 10587291173821. The next prime is 10587291173881. The reversal of 10587291173872 is 27837119278501.

It is a super-2 number, since 2×10587291173872² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10587291173872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477776329 + ... + 477798487.

It is an arithmetic number, because the mean of its divisors is an integer number (293339064384).

Almost surely, 2^{10587291173872} is an apocalyptic number.

It is an amenable number.

10587291173872 is an abundant number, since it is smaller than the sum of its proper divisors (12879833976848).

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

10587291173872 is a wasteful number, since it uses less digits than its factorization.

10587291173872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26318 (or 26312 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 61.

The spelling of 10587291173872 in words is "ten trillion, five hundred eighty-seven billion, two hundred ninety-one million, one hundred seventy-three thousand, eight hundred seventy-two".