31791834138960 has 640 divisors, whose sum is σ = 126930161664000. Its totient is φ = 7163558258688.

The previous prime is 31791834138943. The next prime is 31791834139001. The reversal of 31791834138960 is 6983143819713.

31791834138960 is a `hidden beast` number, since 3 + 1 + 7 + 9 + 1 + 83 + 413 + 89 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779975061 + ... + 780015819.

It is an arithmetic number, because the mean of its divisors is an integer number (198328377600).

Almost surely, 2^{31791834138960} is an apocalyptic number.

31791834138960 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 31791834138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63465080832000).

31791834138960 is an abundant number, since it is smaller than the sum of its proper divisors (95138327525040).

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

31791834138960 is a wasteful number, since it uses less digits than its factorization.

31791834138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41520 (or 41508 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 31791834138960 in words is "thirty-one trillion, seven hundred ninety-one billion, eight hundred thirty-four million, one hundred thirty-eight thousand, nine hundred sixty".