10827631872 has 54 divisors (see below), whose sum is σ = 31218738642. Its totient is φ = 3609209856.

The previous prime is 10827631819. The next prime is 10827631879. The reversal of 10827631872 is 27813672801.

10827631872 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 631 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5657446656 + 5170185216 = 75216^2 + 71904^2 .

It is a super-2 number, since 2×10827631872² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827631879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2347443 + ... + 2352050.

Almost surely, 2^10827631872 is an apocalyptic number.

10827631872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10827631872 is an abundant number, since it is smaller than the sum of its proper divisors (20391106770).

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

10827631872 is an equidigital number, since it uses as much as digits as its factorization.

10827631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699515 (or 4699498 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10827631872 in words is "ten billion, eight hundred twenty-seven million, six hundred thirty-one thousand, eight hundred seventy-two".