12777806803311 has 48 divisors (see below), whose sum is σ = 20629582122240. Its totient is φ = 7553864976000.

The previous prime is 12777806803283. The next prime is 12777806803327. The reversal of 12777806803311 is 11330860877721.

12777806803311 is a `hidden beast` number, since 127 + 77 + 80 + 68 + 0 + 3 + 311 = 666.

It is not a de Polignac number, because 12777806803311 - 2⁶ = 12777806803247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777806802311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22165750 + ... + 22734908.

It is an arithmetic number, because the mean of its divisors is an integer number (429782960880).

Almost surely, 2^{12777806803311} is an apocalyptic number.

12777806803311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12777806803311 is a deficient number, since it is larger than the sum of its proper divisors (7851775318929).

12777806803311 is a wasteful number, since it uses less digits than its factorization.

12777806803311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574748 (or 574745 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 12777806803311 in words is "twelve trillion, seven hundred seventy-seven billion, eight hundred six million, eight hundred three thousand, three hundred eleven".