12772677807813 has 288 divisors, whose sum is σ = 22981114824192. Its totient is φ = 6238397088000.

The previous prime is 12772677807811. The next prime is 12772677807821. The reversal of 12772677807813 is 31870877627721.

It is not a de Polignac number, because 12772677807813 - 2¹ = 12772677807811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772677807811) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14082334506 + ... + 14082335412.

It is an arithmetic number, because the mean of its divisors is an integer number (79795537584).

Almost surely, 2^{12772677807813} is an apocalyptic number.

It is an amenable number.

12772677807813 is a deficient number, since it is larger than the sum of its proper divisors (10208437016379).

12772677807813 is a wasteful number, since it uses less digits than its factorization.

12772677807813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 77446656, while the sum is 66.

The spelling of 12772677807813 in words is "twelve trillion, seven hundred seventy-two billion, six hundred seventy-seven million, eight hundred seven thousand, eight hundred thirteen".