31345472957760 has 896 divisors, whose sum is σ = 123013339545600. Its totient is φ = 7461698641920.

The previous prime is 31345472957759. The next prime is 31345472957779. The reversal of 31345472957760 is 6775927454313.

31345472957760 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 5 + 472 + 95 + 7 + 76 + 0 = 666.

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, 7684595401 + ... + 7684599479.

It is an arithmetic number, because the mean of its divisors is an integer number (137291673600).

Almost surely, 2^{31345472957760} is an apocalyptic number.

31345472957760 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 31345472957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61506669772800).

31345472957760 is an abundant number, since it is smaller than the sum of its proper divisors (91667866587840).

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

31345472957760 is a wasteful number, since it uses less digits than its factorization.

31345472957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 31345472957760 in words is "thirty-one trillion, three hundred forty-five billion, four hundred seventy-two million, nine hundred fifty-seven thousand, seven hundred sixty".