12768086721 has 48 divisors (see below), whose sum is σ = 18757939200. Its totient is φ = 7720629696.

The previous prime is 12768086719. The next prime is 12768086743.

12768086721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12768086721 - 2¹ = 12768086719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12768086321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7257840 + ... + 7259598.

It is an arithmetic number, because the mean of its divisors is an integer number (390790400).

Almost surely, 2^12768086721 is an apocalyptic number.

It is an amenable number.

12768086721 is a deficient number, since it is larger than the sum of its proper divisors (5989852479).

12768086721 is a wasteful number, since it uses less digits than its factorization.

12768086721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12768086721 in words is "twelve billion, seven hundred sixty-eight million, eighty-six thousand, seven hundred twenty-one".