12806372796336 has 600 divisors, whose sum is σ = 45268353782784. Its totient is φ = 3478341968640.

The previous prime is 12806372796317. The next prime is 12806372796337. The reversal of 12806372796336 is 63369727360821.

12806372796336 is a `hidden beast` number, since 1 + 28 + 0 + 6 + 3 + 7 + 279 + 6 + 336 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12806372796337) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 238049601 + ... + 238103391.

Almost surely, 2^{12806372796336} is an apocalyptic number.

12806372796336 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 12806372796336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634176891392).

12806372796336 is an abundant number, since it is smaller than the sum of its proper divisors (32461980986448).

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

12806372796336 is a wasteful number, since it uses less digits than its factorization.

12806372796336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54011 (or 53989 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 12806372796336 in words is "twelve trillion, eight hundred six billion, three hundred seventy-two million, seven hundred ninety-six thousand, three hundred thirty-six".