31808972160 has 768 divisors, whose sum is σ = 132591513600. Its totient is φ = 7136501760.

The previous prime is 31808972159. The next prime is 31808972171. The reversal of 31808972160 is 6127980813.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66406801 + ... + 66407279.

It is an arithmetic number, because the mean of its divisors is an integer number (172645200).

Almost surely, 2^31808972160 is an apocalyptic number.

31808972160 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 31808972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66295756800).

31808972160 is an abundant number, since it is smaller than the sum of its proper divisors (100782541440).

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

31808972160 is an equidigital number, since it uses as much as digits as its factorization.

31808972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 31808972160 in words is "thirty-one billion, eight hundred eight million, nine hundred seventy-two thousand, one hundred sixty".