31971490560 has 468 divisors, whose sum is σ = 117316590048. Its totient is φ = 8344332288.

The previous prime is 31971490547. The next prime is 31971490567. The reversal of 31971490560 is 6509417913.

31971490560 is a `hidden beast` number, since 3 + 19 + 71 + 4 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×31971490560² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31971490567) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 680244457 + ... + 680244503.

Almost surely, 2^31971490560 is an apocalyptic number.

31971490560 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 31971490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58658295024).

31971490560 is an abundant number, since it is smaller than the sum of its proper divisors (85345099488).

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

31971490560 is an frugal number, since it uses more digits than its factorization.

31971490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 31971490560 in words is "thirty-one billion, nine hundred seventy-one million, four hundred ninety thousand, five hundred sixty".