31680350991072 has 216 divisors, whose sum is σ = 104901232612176. Its totient is φ = 9042762322944.

The previous prime is 31680350991061. The next prime is 31680350991119. The reversal of 31680350991072 is 27019905308613.

31680350991072 is a `hidden beast` number, since 3 + 1 + 68 + 0 + 3 + 509 + 9 + 1 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13491093 + ... + 15664299.

It is an arithmetic number, because the mean of its divisors is an integer number (485653854686).

Almost surely, 2^{31680350991072} is an apocalyptic number.

31680350991072 is a gapful number since it is divisible by the number (32) 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 31680350991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52450616306088).

31680350991072 is an abundant number, since it is smaller than the sum of its proper divisors (73220881621104).

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

31680350991072 is a wasteful number, since it uses less digits than its factorization.

31680350991072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174270 (or 2174252 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 31680350991072 in words is "thirty-one trillion, six hundred eighty billion, three hundred fifty million, nine hundred ninety-one thousand, seventy-two".