31577064960 has 160 divisors (see below), whose sum is σ = 115369258752. Its totient is φ = 7217602560.

The previous prime is 31577064947. The next prime is 31577064973. The reversal of 31577064960 is 6946077513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31577064947) and next prime (31577064973).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×31577064960² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239926 + ... + 347445.

Almost surely, 2^31577064960 is an apocalyptic number.

31577064960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31577064960 is an abundant number, since it is smaller than the sum of its proper divisors (83792193792).

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

31577064960 is an equidigital number, since it uses as much as digits as its factorization.

31577064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587404 (or 587388 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 31577064960 in words is "thirty-one billion, five hundred seventy-seven million, sixty-four thousand, nine hundred sixty".