12794646460800 has 384 divisors, whose sum is σ = 45232622739360. Its totient is φ = 3167213322240.

The previous prime is 12794646460793. The next prime is 12794646460837. The reversal of 12794646460800 is 806464649721.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11376624 + ... + 12450576.

Almost surely, 2^{12794646460800} is an apocalyptic number.

12794646460800 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 12794646460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22616311369680).

12794646460800 is an abundant number, since it is smaller than the sum of its proper divisors (32437976278560).

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

12794646460800 is a wasteful number, since it uses less digits than its factorization.

12794646460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074070 (or 1074053 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 12794646460800 in words is "twelve trillion, seven hundred ninety-four billion, six hundred forty-six million, four hundred sixty thousand, eight hundred".