10585131072 has 56 divisors (see below), whose sum is σ = 28014143616. Its totient is φ = 3527413248.

The previous prime is 10585131049. The next prime is 10585131119. The reversal of 10585131072 is 27013158501.

It is a super-2 number, since 2×10585131072² (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, 1200793 + ... + 1209575.

Almost surely, 2^10585131072 is an apocalyptic number.

10585131072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10585131072 is an abundant number, since it is smaller than the sum of its proper divisors (17429012544).

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

10585131072 is an equidigital number, since it uses as much as digits as its factorization.

10585131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15075 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

Adding to 10585131072 its reverse (27013158501), we get a palindrome (37598289573).

The spelling of 10585131072 in words is "ten billion, five hundred eighty-five million, one hundred thirty-one thousand, seventy-two".