30638980028520 has 96 divisors (see below), whose sum is σ = 99669835722600. Its totient is φ = 8162751545856.

The previous prime is 30638980028479. The next prime is 30638980028543. The reversal of 30638980028520 is 2582008983603.

30638980028520 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 8 + 98 + 0 + 0 + 28 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30334693197636 + 304286830884 = 5507694^2 + 551622^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39422587 + ... + 40192266.

Almost surely, 2^{30638980028520} is an apocalyptic number.

30638980028520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30638980028520 is an abundant number, since it is smaller than the sum of its proper divisors (69030855694080).

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

30638980028520 is a wasteful number, since it uses less digits than its factorization.

30638980028520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79615939 (or 79615932 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 30638980028520 in words is "thirty trillion, six hundred thirty-eight billion, nine hundred eighty million, twenty-eight thousand, five hundred twenty".