12860682768 has 40 divisors (see below), whose sum is σ = 36914924000. Its totient is φ = 4286894112.

The previous prime is 12860682761. The next prime is 12860682773. The reversal of 12860682768 is 86728606821.

12860682768 is a `hidden beast` number, since 1 + 2 + 8 + 606 + 8 + 27 + 6 + 8 = 666.

12860682768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12860682768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12860682761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14884618 + ... + 14885481.

It is an arithmetic number, because the mean of its divisors is an integer number (922873100).

Almost surely, 2^12860682768 is an apocalyptic number.

12860682768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12860682768 is an abundant number, since it is smaller than the sum of its proper divisors (24054241232).

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

12860682768 is a wasteful number, since it uses less digits than its factorization.

12860682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29770116 (or 29770104 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12860682768 in words is "twelve billion, eight hundred sixty million, six hundred eighty-two thousand, seven hundred sixty-eight".