12750911460864 has 640 divisors, whose sum is σ = 40673175797760. Its totient is φ = 3936124108800.

The previous prime is 12750911460851. The next prime is 12750911460893. The reversal of 12750911460864 is 46806411905721.

12750911460864 is a `hidden beast` number, since 1 + 2 + 7 + 509 + 1 + 14 + 60 + 8 + 64 = 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 12750911460864.

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, 967217217 + ... + 967230399.

It is an arithmetic number, because the mean of its divisors is an integer number (63551837184).

Almost surely, 2^{12750911460864} 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 12750911460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336587898880).

12750911460864 is an abundant number, since it is smaller than the sum of its proper divisors (27922264336896).

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

12750911460864 is a wasteful number, since it uses less digits than its factorization.

12750911460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12750911460864 in words is "twelve trillion, seven hundred fifty billion, nine hundred eleven million, four hundred sixty thousand, eight hundred sixty-four".