10582972544 has 64 divisors (see below), whose sum is σ = 21521224800. Its totient is φ = 5182248960.

The previous prime is 10582972537. The next prime is 10582972597. The reversal of 10582972544 is 44527928501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10582972544² (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 7 ways as a sum of consecutive naturals, for example, 2119619 + ... + 2124605.

Almost surely, 2^10582972544 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 10582972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760612400).

10582972544 is an abundant number, since it is smaller than the sum of its proper divisors (10938252256).

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

10582972544 is an equidigital number, since it uses as much as digits as its factorization.

10582972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 10582972544 in words is "ten billion, five hundred eighty-two million, nine hundred seventy-two thousand, five hundred forty-four".