12597564672 has 432 divisors, whose sum is σ = 47959696512. Its totient is φ = 3078881280.

The previous prime is 12597564653. The next prime is 12597564701. The reversal of 12597564672 is 27646579521.

It is a happy number.

12597564672 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 7 + 564 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3013848 + ... + 3018024.

It is an arithmetic number, because the mean of its divisors is an integer number (111017816).

Almost surely, 2^12597564672 is an apocalyptic number.

12597564672 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 12597564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23979848256).

12597564672 is an abundant number, since it is smaller than the sum of its proper divisors (35362131840).

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

12597564672 is a wasteful number, since it uses less digits than its factorization.

12597564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4217 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 12597564672 in words is "twelve billion, five hundred ninety-seven million, five hundred sixty-four thousand, six hundred seventy-two".