31166419872 has 384 divisors, whose sum is σ = 105061017600. Its totient is φ = 7875035136.

The previous prime is 31166419763. The next prime is 31166419883. The reversal of 31166419872 is 27891466113.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30170268 + ... + 30171300.

It is an arithmetic number, because the mean of its divisors is an integer number (273596400).

Almost surely, 2^31166419872 is an apocalyptic number.

31166419872 is a gapful number since it is divisible by the number (32) 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 31166419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52530508800).

31166419872 is an abundant number, since it is smaller than the sum of its proper divisors (73894597728).

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

31166419872 is a wasteful number, since it uses less digits than its factorization.

31166419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 31166419872 in words is "thirty-one billion, one hundred sixty-six million, four hundred nineteen thousand, eight hundred seventy-two".