31396610568960 has 3456 divisors, whose sum is σ = 147993710592000. Its totient is φ = 6187866587136.

The previous prime is 31396610568943. The next prime is 31396610568971. The reversal of 31396610568960 is 6986501669313.

31396610568960 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 6 + 6 + 1 + 0 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 42485264271 + ... + 42485265009.

Almost surely, 2^{31396610568960} is an apocalyptic number.

31396610568960 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 31396610568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73996855296000).

31396610568960 is an abundant number, since it is smaller than the sum of its proper divisors (116597100023040).

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

31396610568960 is a wasteful number, since it uses less digits than its factorization.

31396610568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 31396610568960 in words is "thirty-one trillion, three hundred ninety-six billion, six hundred ten million, five hundred sixty-eight thousand, nine hundred sixty".