12557365632 has 384 divisors, whose sum is σ = 44616636000. Its totient is φ = 3462746112.

The previous prime is 12557365621. The next prime is 12557365649. The reversal of 12557365632 is 23656375521.

12557365632 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 3 + 6 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×12557365632³ (a number of 31 digits) contains 333 as substring.

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, 4909698 + ... + 4912254.

Almost surely, 2^12557365632 is an apocalyptic number.

12557365632 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 12557365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308318000).

12557365632 is an abundant number, since it is smaller than the sum of its proper divisors (32059270368).

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

12557365632 is a wasteful number, since it uses less digits than its factorization.

12557365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2598 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 12557365632 in words is "twelve billion, five hundred fifty-seven million, three hundred sixty-five thousand, six hundred thirty-two".