31297538880 has 336 divisors, whose sum is σ = 113512299264. Its totient is φ = 7899217920.

The previous prime is 31297538869. The next prime is 31297538957. The reversal of 31297538880 is 8883579213.

31297538880 is a `hidden beast` number, since 3 + 1 + 29 + 7 + 538 + 8 + 80 = 666.

It is a super-2 number, since 2×31297538880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422845 + ... + 6427715.

It is an arithmetic number, because the mean of its divisors is an integer number (337834224).

Almost surely, 2^31297538880 is an apocalyptic number.

31297538880 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 31297538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756149632).

31297538880 is an abundant number, since it is smaller than the sum of its proper divisors (82214760384).

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

31297538880 is a wasteful number, since it uses less digits than its factorization.

31297538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 31297538880 in words is "thirty-one billion, two hundred ninety-seven million, five hundred thirty-eight thousand, eight hundred eighty".