12624521856 has 128 divisors (see below), whose sum is σ = 34346419200. Its totient is φ = 4106738688.

The previous prime is 12624521851. The next prime is 12624521863. The reversal of 12624521856 is 65812542621.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12624521851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7994475 + ... + 7996053.

It is an arithmetic number, because the mean of its divisors is an integer number (268331400).

Almost surely, 2^12624521856 is an apocalyptic number.

12624521856 is a gapful number since it is divisible by the number (16) 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 12624521856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173209600).

12624521856 is an abundant number, since it is smaller than the sum of its proper divisors (21721897344).

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

12624521856 is a wasteful number, since it uses less digits than its factorization.

12624521856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2074 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 12624521856 in words is "twelve billion, six hundred twenty-four million, five hundred twenty-one thousand, eight hundred fifty-six".