30939966679200 has 288 divisors, whose sum is σ = 101254038076800. Its totient is φ = 8206128721920.

The previous prime is 30939966679163. The next prime is 30939966679229. The reversal of 30939966679200 is 297666993903.

It is a super-2 number, since 2×30939966679200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540228166 + ... + 540285434.

It is an arithmetic number, because the mean of its divisors is an integer number (351576521100).

Almost surely, 2^{30939966679200} is an apocalyptic number.

30939966679200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30939966679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50627019038400).

30939966679200 is an abundant number, since it is smaller than the sum of its proper divisors (70314071397600).

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

30939966679200 is a wasteful number, since it uses less digits than its factorization.

30939966679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58504 (or 58491 counting only the distinct ones).

The product of its (nonzero) digits is 178564176, while the sum is 69.

The spelling of 30939966679200 in words is "thirty trillion, nine hundred thirty-nine billion, nine hundred sixty-six million, six hundred seventy-nine thousand, two hundred".