31139215072056 has 2688 divisors, whose sum is σ = 120892165632000. Its totient is φ = 7458956305920.

The previous prime is 31139215071989. The next prime is 31139215072073. The reversal of 31139215072056 is 65027051293113.

31139215072056 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 92 + 1 + 507 + 2 + 0 + 56 = 666.

It is a super-3 number, since 3×31139215072056³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 291020701555 + ... + 291020701661.

It is an arithmetic number, because the mean of its divisors is an integer number (44974764000).

Almost surely, 2^{31139215072056} is an apocalyptic number.

31139215072056 is a gapful number since it is divisible by the number (36) 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 31139215072056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446082816000).

31139215072056 is an abundant number, since it is smaller than the sum of its proper divisors (89752950559944).

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

31139215072056 is a wasteful number, since it uses less digits than its factorization.

31139215072056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 31139215072056 in words is "thirty-one trillion, one hundred thirty-nine billion, two hundred fifteen million, seventy-two thousand, fifty-six".