31931300172772 has 192 divisors, whose sum is σ = 75295404656640. Its totient is φ = 11442800793600.

The previous prime is 31931300172769. The next prime is 31931300172797. The reversal of 31931300172772 is 27727100313913.

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, 2887875468 + ... + 2887886524.

It is an arithmetic number, because the mean of its divisors is an integer number (392163565920).

Almost surely, 2^{31931300172772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31931300172772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37647702328320).

31931300172772 is an abundant number, since it is smaller than the sum of its proper divisors (43364104483868).

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

31931300172772 is a wasteful number, since it uses less digits than its factorization.

31931300172772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13602 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 46.

The spelling of 31931300172772 in words is "thirty-one trillion, nine hundred thirty-one billion, three hundred million, one hundred seventy-two thousand, seven hundred seventy-two".