12656786688 has 864 divisors, whose sum is σ = 49176481536. Its totient is φ = 3036413952.

The previous prime is 12656786677. The next prime is 12656786717. The reversal of 12656786688 is 88668765621.

12656786688 is a `hidden beast` number, since 1 + 2 + 6 + 567 + 8 + 6 + 68 + 8 = 666.

It is a super-3 number, since 3×12656786688³ (a number of 31 digits) contains 333 as substring.

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

Its product of digits (46448640) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188907231 + ... + 188907297.

It is an arithmetic number, because the mean of its divisors is an integer number (56917224).

Almost surely, 2^12656786688 is an apocalyptic number.

12656786688 is a gapful number since it is divisible by the number (18) 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 12656786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588240768).

12656786688 is an abundant number, since it is smaller than the sum of its proper divisors (36519694848).

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

12656786688 is a wasteful number, since it uses less digits than its factorization.

12656786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 12656786688 in words is "twelve billion, six hundred fifty-six million, seven hundred eighty-six thousand, six hundred eighty-eight".