12675639715200 has 4032 divisors, whose sum is σ = 63188360619120. Its totient is φ = 2474783539200.

The previous prime is 12675639715171. The next prime is 12675639715213. The reversal of 12675639715200 is 251793657621.

It is a happy number.

12675639715200 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 563 + 9 + 71 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×12675639715200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 21375446104 + ... + 21375446696.

Almost surely, 2^{12675639715200} is an apocalyptic number.

12675639715200 is a gapful number since it is divisible by the number (10) 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 12675639715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31594180309560).

12675639715200 is an abundant number, since it is smaller than the sum of its proper divisors (50512720903920).

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

12675639715200 is a wasteful number, since it uses less digits than its factorization.

12675639715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 12675639715200 in words is "twelve trillion, six hundred seventy-five billion, six hundred thirty-nine million, seven hundred fifteen thousand, two hundred".