31979888640000 has 3060 divisors, whose sum is σ = 145063907177904. Its totient is φ = 6879707136000.

The previous prime is 31979888639989. The next prime is 31979888640019. The reversal of 31979888640000 is 4688897913.

31979888640000 is a `hidden beast` number, since 3 + 1 + 9 + 79 + 88 + 86 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3060).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 31979888640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1881169919992 + ... + 1881169920008.

Almost surely, 2^{31979888640000} is an apocalyptic number.

31979888640000 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 31979888640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72531953588952).

31979888640000 is an abundant number, since it is smaller than the sum of its proper divisors (113084018537904).

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

31979888640000 is an frugal number, since it uses more digits than its factorization.

31979888640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 31979888640000 in words is "thirty-one trillion, nine hundred seventy-nine billion, eight hundred eighty-eight million, six hundred forty thousand".