12394399564800 has 3168 divisors, whose sum is σ = 55043231293440. Its totient is φ = 2634964992000.

The previous prime is 12394399564793. The next prime is 12394399564829. The reversal of 12394399564800 is 846599349321.

12394399564800 is a `hidden beast` number, since 1 + 2 + 39 + 4 + 39 + 9 + 564 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×12394399564800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 399819340785 + ... + 399819340815.

Almost surely, 2^{12394399564800} is an apocalyptic number.

12394399564800 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 12394399564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521615646720).

12394399564800 is an abundant number, since it is smaller than the sum of its proper divisors (42648831728640).

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

12394399564800 is a wasteful number, since it uses less digits than its factorization.

12394399564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 12394399564800 in words is "twelve trillion, three hundred ninety-four billion, three hundred ninety-nine million, five hundred sixty-four thousand, eight hundred".