12675659688000 has 1344 divisors, whose sum is σ = 47763887947776. Its totient is φ = 3204956160000.

The previous prime is 12675659687959. The next prime is 12675659688017. The reversal of 12675659688000 is 88695657621.

12675659688000 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 565 + 9 + 68 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27496007770 + ... + 27496008230.

It is an arithmetic number, because the mean of its divisors is an integer number (35538607104).

Almost surely, 2^{12675659688000} is an apocalyptic number.

12675659688000 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 12675659688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881943973888).

12675659688000 is an abundant number, since it is smaller than the sum of its proper divisors (35088228259776).

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

12675659688000 is a wasteful number, since it uses less digits than its factorization.

12675659688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

It can be divided in two parts, 126756 and 59688000, that added together give a square (59814756 = 7734²).

The spelling of 12675659688000 in words is "twelve trillion, six hundred seventy-five billion, six hundred fifty-nine million, six hundred eighty-eight thousand".