31906057672320 has 1024 divisors, whose sum is σ = 116184712089600. Its totient is φ = 7382856499200.

The previous prime is 31906057672303. The next prime is 31906057672327. The reversal of 31906057672320 is 2327675060913.

It is not an unprimeable number, because it can be changed into a prime (31906057672327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61240033660 + ... + 61240034180.

It is an arithmetic number, because the mean of its divisors is an integer number (113461632900).

Almost surely, 2^{31906057672320} is an apocalyptic number.

31906057672320 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 31906057672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58092356044800).

31906057672320 is an abundant number, since it is smaller than the sum of its proper divisors (84278654417280).

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

31906057672320 is a wasteful number, since it uses less digits than its factorization.

31906057672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 31906057672320 in words is "thirty-one trillion, nine hundred six billion, fifty-seven million, six hundred seventy-two thousand, three hundred twenty".