8957031408900 has 81 divisors (see below), whose sum is σ = 28075598766943. Its totient is φ = 2388517766400.

The previous prime is 8957031408869. The next prime is 8957031408929. The reversal of 8957031408900 is 98041307598.

The square root of 8957031408900 is 2992830.

It is a perfect power (a square), and thus also a powerful number.

8957031408900 is a `hidden beast` number, since 89 + 5 + 70 + 3 + 1 + 408 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2923012541124 + 6034018867776 = 1709682^2 + 2456424^2 .

It is a super-2 number, since 2×8957031408900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89735020 + ... + 89834780.

Almost surely, 2^{8957031408900} is an apocalyptic number.

8957031408900 is the 2992830-th square number.

It is an amenable number.

8957031408900 is an abundant number, since it is smaller than the sum of its proper divisors (19118567358043).

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

8957031408900 is an frugal number, since it uses more digits than its factorization.

8957031408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199542 (or 99771 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 8957031408900 in words is "eight trillion, nine hundred fifty-seven billion, thirty-one million, four hundred eight thousand, nine hundred".