30008879645472 has 288 divisors, whose sum is σ = 107592816240000. Its totient is φ = 7721394647040.

The previous prime is 30008879645447. The next prime is 30008879645539. The reversal of 30008879645472 is 27454697880003.

30008879645472 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 8 + 87 + 9 + 6 + 4 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12889222 + ... + 15038277.

It is an arithmetic number, because the mean of its divisors is an integer number (373586167500).

Almost surely, 2^{30008879645472} is an apocalyptic number.

30008879645472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30008879645472 is an abundant number, since it is smaller than the sum of its proper divisors (77583936594528).

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

30008879645472 is a wasteful number, since it uses less digits than its factorization.

30008879645472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27927576 (or 27927565 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 30008879645472 in words is "thirty trillion, eight billion, eight hundred seventy-nine million, six hundred forty-five thousand, four hundred seventy-two".