31981738613760 has 1056 divisors, whose sum is σ = 121136570912448. Its totient is φ = 7754817208320.

The previous prime is 31981738613717. The next prime is 31981738613789. The reversal of 31981738613760 is 6731683718913.

It is a happy number.

31981738613760 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 1 + 7 + 3 + 8 + 613 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×31981738613760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11710631595 + ... + 11710634325.

Almost surely, 2^{31981738613760} is an apocalyptic number.

31981738613760 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 31981738613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60568285456224).

31981738613760 is an abundant number, since it is smaller than the sum of its proper divisors (89154832298688).

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

31981738613760 is a wasteful number, since it uses less digits than its factorization.

31981738613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 31981738613760 in words is "thirty-one trillion, nine hundred eighty-one billion, seven hundred thirty-eight million, six hundred thirteen thousand, seven hundred sixty".