31313986560 has 704 divisors, whose sum is σ = 117789292800. Its totient is φ = 7877689344.

The previous prime is 31313986549. The next prime is 31313986607. The reversal of 31313986560 is 6568931313.

31313986560 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 3 + 9 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292654027 + ... + 292654133.

Almost surely, 2^31313986560 is an apocalyptic number.

31313986560 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 31313986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58894646400).

31313986560 is an abundant number, since it is smaller than the sum of its proper divisors (86475306240).

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

31313986560 is a wasteful number, since it uses less digits than its factorization.

31313986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 31313986560 in words is "thirty-one billion, three hundred thirteen million, nine hundred eighty-six thousand, five hundred sixty".