30632572008900 has 81 divisors (see below), whose sum is σ = 96016615598631. Its totient is φ = 8168641591680.

The previous prime is 30632572008889. The next prime is 30632572008949. The reversal of 30632572008900 is 980027523603.

The square root of 30632572008900 is 5534670.

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

30632572008900 is a `hidden beast` number, since 3 + 0 + 632 + 5 + 7 + 2 + 0 + 0 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17336747442564 + 13295824566336 = 4163742^2 + 3646344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 165947856 + ... + 166132344.

Almost surely, 2^{30632572008900} is an apocalyptic number.

30632572008900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30632572008900 is the 5534670-th square number.

It is an amenable number.

30632572008900 is an abundant number, since it is smaller than the sum of its proper divisors (65384043589731).

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

30632572008900 is an frugal number, since it uses more digits than its factorization.

30632572008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368998 (or 184499 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 30632572008900 in words is "thirty trillion, six hundred thirty-two billion, five hundred seventy-two million, eight thousand, nine hundred".