10631672007200 has 72 divisors (see below), whose sum is σ = 25955019748980. Its totient is φ = 4252594995200.

The previous prime is 10631672007139. The next prime is 10631672007223. The reversal of 10631672007200 is 270027613601.

It can be written as a sum of positive squares in 6 ways, for example, as 1385620911376 + 9246051095824 = 1177124^2 + 3040732^2 .

It is a super-2 number, since 2×10631672007200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89637536 + ... + 89756064.

Almost surely, 2^{10631672007200} is an apocalyptic number.

10631672007200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10631672007200 is an abundant number, since it is smaller than the sum of its proper divisors (15323347741780).

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

10631672007200 is a wasteful number, since it uses less digits than its factorization.

10631672007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230670 (or 230657 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 10631672007200 in words is "ten trillion, six hundred thirty-one billion, six hundred seventy-two million, seven thousand, two hundred".