12616794403200 has 1536 divisors, whose sum is σ = 52179860275200. Its totient is φ = 2953934438400.

The previous prime is 12616794403193. The next prime is 12616794403229. The reversal of 12616794403200 is 230449761621.

12616794403200 is a `hidden beast` number, since 1 + 2 + 616 + 7 + 9 + 4 + 4 + 0 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4934216322 + ... + 4934218878.

It is an arithmetic number, because the mean of its divisors is an integer number (33971263200).

Almost surely, 2^{12616794403200} is an apocalyptic number.

12616794403200 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 12616794403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26089930137600).

12616794403200 is an abundant number, since it is smaller than the sum of its proper divisors (39563065872000).

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

12616794403200 is a wasteful number, since it uses less digits than its factorization.

12616794403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12616794403200 in words is "twelve trillion, six hundred sixteen billion, seven hundred ninety-four million, four hundred three thousand, two hundred".