31457986560 has 1728 divisors, whose sum is σ = 152253803520. Its totient is φ = 5839257600.

The previous prime is 31457986507. The next prime is 31457986577. The reversal of 31457986560 is 6568975413.

31457986560 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 79 + 8 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31457986497 and 31457986506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1014773745 + ... + 1014773775.

It is an arithmetic number, because the mean of its divisors is an integer number (88109840).

Almost surely, 2^31457986560 is an apocalyptic number.

31457986560 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 31457986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76126901760).

31457986560 is an abundant number, since it is smaller than the sum of its proper divisors (120795816960).

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

31457986560 is a wasteful number, since it uses less digits than its factorization.

31457986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 31457986560 in words is "thirty-one billion, four hundred fifty-seven million, nine hundred eighty-six thousand, five hundred sixty".