12564725472 has 216 divisors, whose sum is σ = 39278565144. Its totient is φ = 3807378432.

The previous prime is 12564725461. The next prime is 12564725477. The reversal of 12564725472 is 27452746521.

12564725472 is a `hidden beast` number, since 12 + 56 + 47 + 2 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564725477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3259098 + ... + 3262950.

It is an arithmetic number, because the mean of its divisors is an integer number (181845209).

Almost surely, 2^12564725472 is an apocalyptic number.

12564725472 is a gapful number since it is divisible by the number (12) 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 12564725472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639282572).

12564725472 is an abundant number, since it is smaller than the sum of its proper divisors (26713839672).

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

12564725472 is a wasteful number, since it uses less digits than its factorization.

12564725472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3938 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 12564725472 in words is "twelve billion, five hundred sixty-four million, seven hundred twenty-five thousand, four hundred seventy-two".