12566688368256 has 512 divisors, whose sum is σ = 41881730400000. Its totient is φ = 3674526105600.

The previous prime is 12566688368237. The next prime is 12566688368281. The reversal of 12566688368256 is 65286388666521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 2889555970 + ... + 2889560318.

Almost surely, 2^{12566688368256} is an apocalyptic number.

12566688368256 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 12566688368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940865200000).

12566688368256 is an abundant number, since it is smaller than the sum of its proper divisors (29315042031744).

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

12566688368256 is a wasteful number, since it uses less digits than its factorization.

12566688368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7015 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 12566688368256 in words is "twelve trillion, five hundred sixty-six billion, six hundred eighty-eight million, three hundred sixty-eight thousand, two hundred fifty-six".