12875544864 has 960 divisors, whose sum is σ = 52251091200. Its totient is φ = 3027787776.

The previous prime is 12875544833. The next prime is 12875544887. The reversal of 12875544864 is 46844557821.

12875544864 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 554 + 4 + 86 + 4 = 666.

It is a super-3 number, since 3×12875544864³ (a number of 31 digits) contains 333 as substring.

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 12875544864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 677660247 + ... + 677660265.

It is an arithmetic number, because the mean of its divisors is an integer number (54428220).

Almost surely, 2^12875544864 is an apocalyptic number.

12875544864 is a gapful number since it is divisible by the number (14) 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 12875544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26125545600).

12875544864 is an abundant number, since it is smaller than the sum of its proper divisors (39375546336).

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

12875544864 is a wasteful number, since it uses less digits than its factorization.

12875544864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 12875544864 in words is "twelve billion, eight hundred seventy-five million, five hundred forty-four thousand, eight hundred sixty-four".