12556133693064 has 512 divisors, whose sum is σ = 41828335718400. Its totient is φ = 3452454420480.

The previous prime is 12556133693039. The next prime is 12556133693071. The reversal of 12556133693064 is 46039633165521.

12556133693064 is a `hidden beast` number, since 12 + 5 + 5 + 613 + 3 + 6 + 9 + 3 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12556133693064.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78350202 + ... + 78510294.

It is an arithmetic number, because the mean of its divisors is an integer number (81695968200).

Almost surely, 2^{12556133693064} 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 12556133693064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914167859200).

12556133693064 is an abundant number, since it is smaller than the sum of its proper divisors (29272202025336).

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

12556133693064 is a wasteful number, since it uses less digits than its factorization.

12556133693064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160222 (or 160212 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 12556133693064 in words is "twelve trillion, five hundred fifty-six billion, one hundred thirty-three million, six hundred ninety-three thousand, sixty-four".