12679411852800 has 2520 divisors, whose sum is σ = 59794146815832. Its totient is φ = 2633637888000.

The previous prime is 12679411852787. The next prime is 12679411852909. The reversal of 12679411852800 is 825811497621.

12679411852800 is a `hidden beast` number, since 1 + 2 + 6 + 79 + 41 + 1 + 8 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5029515540 + ... + 5029518060.

Almost surely, 2^{12679411852800} is an apocalyptic number.

12679411852800 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 12679411852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29897073407916).

12679411852800 is an abundant number, since it is smaller than the sum of its proper divisors (47114734963032).

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

12679411852800 is an equidigital number, since it uses as much as digits as its factorization.

12679411852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 12679411852800 in words is "twelve trillion, six hundred seventy-nine billion, four hundred eleven million, eight hundred fifty-two thousand, eight hundred".