31930872960 has 512 divisors, whose sum is σ = 121038520320. Its totient is φ = 7006371840.

The previous prime is 31930872949. The next prime is 31930872973. The reversal of 31930872960 is 6927803913.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72078499 + ... + 72078941.

It is an arithmetic number, because the mean of its divisors is an integer number (236403360).

Almost surely, 2^31930872960 is an apocalyptic number.

31930872960 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 31930872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60519260160).

31930872960 is an abundant number, since it is smaller than the sum of its proper divisors (89107647360).

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

31930872960 is a wasteful number, since it uses less digits than its factorization.

31930872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 31930872960 in words is "thirty-one billion, nine hundred thirty million, eight hundred seventy-two thousand, nine hundred sixty".