31993740840960 has 1664 divisors, whose sum is σ = 120479256576000. Its totient is φ = 8044161269760.

The previous prime is 31993740840923. The next prime is 31993740840973. The reversal of 31993740840960 is 6904804739913.

31993740840960 is a `hidden beast` number, since 3 + 19 + 93 + 7 + 408 + 40 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160772566941 + ... + 160772567139.

Almost surely, 2^{31993740840960} is an apocalyptic number.

31993740840960 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 31993740840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60239628288000).

31993740840960 is an abundant number, since it is smaller than the sum of its proper divisors (88485515735040).

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

31993740840960 is a wasteful number, since it uses less digits than its factorization.

31993740840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 31993740840960 in words is "thirty-one trillion, nine hundred ninety-three billion, seven hundred forty million, eight hundred forty thousand, nine hundred sixty".