12931166160 has 320 divisors, whose sum is σ = 49321128960. Its totient is φ = 3087659520.

The previous prime is 12931166141. The next prime is 12931166197. The reversal of 12931166160 is 6166113921.

12931166160 is a `hidden beast` number, since 1 + 2 + 9 + 31 + 1 + 6 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1587859 + ... + 1595981.

It is an arithmetic number, because the mean of its divisors is an integer number (154128528).

Almost surely, 2^12931166160 is an apocalyptic number.

12931166160 is a gapful number since it is divisible by the number (10) 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 12931166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660564480).

12931166160 is an abundant number, since it is smaller than the sum of its proper divisors (36389962800).

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

12931166160 is a wasteful number, since it uses less digits than its factorization.

12931166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12931166160 in words is "twelve billion, nine hundred thirty-one million, one hundred sixty-six thousand, one hundred sixty".