12604251856896 has 280 divisors, whose sum is σ = 43034129130960. Its totient is φ = 3601213489152.

The previous prime is 12604251856883. The next prime is 12604251856951. The reversal of 12604251856896 is 69865815240621.

12604251856896 is a `hidden beast` number, since 1 + 2 + 60 + 4 + 2 + 5 + 1 + 8 + 568 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3288070 + ... + 6001658.

Almost surely, 2^{12604251856896} is an apocalyptic number.

12604251856896 is a gapful number since it is divisible by the number (16) 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 12604251856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517064565480).

12604251856896 is an abundant number, since it is smaller than the sum of its proper divisors (30429877274064).

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

12604251856896 is an frugal number, since it uses more digits than its factorization.

12604251856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713634 (or 2713601 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 12604251856896 in words is "twelve trillion, six hundred four billion, two hundred fifty-one million, eight hundred fifty-six thousand, eight hundred ninety-six".