12931166594556 has 288 divisors, whose sum is σ = 39928412160000. Its totient is φ = 3448950382080.

The previous prime is 12931166594513. The next prime is 12931166594611. The reversal of 12931166594556 is 65549566113921.

12931166594556 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 1 + 16 + 65 + 9 + 4 + 556 = 666.

It is a super-2 number, since 2×12931166594556² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12931166594493 and 12931166594502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249856570 + ... + 249908318.

It is an arithmetic number, because the mean of its divisors is an integer number (138640320000).

Almost surely, 2^{12931166594556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12931166594556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964206080000).

12931166594556 is an abundant number, since it is smaller than the sum of its proper divisors (26997245565444).

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

12931166594556 is a wasteful number, since it uses less digits than its factorization.

12931166594556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52929 (or 52924 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 12931166594556 in words is "twelve trillion, nine hundred thirty-one billion, one hundred sixty-six million, five hundred ninety-four thousand, five hundred fifty-six".