12665562624 has 640 divisors, whose sum is σ = 45372096000. Its totient is φ = 3437199360.

The previous prime is 12665562619. The next prime is 12665562671. The reversal of 12665562624 is 42626556621.

12665562624 is a `hidden beast` number, since 1 + 2 + 6 + 65 + 562 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12665562624.

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, 85003702 + ... + 85003850.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^12665562624 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 12665562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048000).

12665562624 is an abundant number, since it is smaller than the sum of its proper divisors (32706533376).

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

12665562624 is a wasteful number, since it uses less digits than its factorization.

12665562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 12665562624 in words is "twelve billion, six hundred sixty-five million, five hundred sixty-two thousand, six hundred twenty-four".