20130037624224 has 72 divisors (see below), whose sum is σ = 62448866730432. Its totient is φ = 6100011400320.

The previous prime is 20130037624171. The next prime is 20130037624283. The reversal of 20130037624224 is 42242673003102.

20130037624224 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 0 + 3 + 7 + 624 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3177086104 + ... + 3177092439.

It is an arithmetic number, because the mean of its divisors is an integer number (867345371256).

Almost surely, 2^{20130037624224} is an apocalyptic number.

20130037624224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20130037624224 is an abundant number, since it is smaller than the sum of its proper divisors (42318829106208).

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

20130037624224 is a wasteful number, since it uses less digits than its factorization.

20130037624224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354178570 (or 6354178559 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20130037624224 in words is "twenty trillion, one hundred thirty billion, thirty-seven million, six hundred twenty-four thousand, two hundred twenty-four".