11256788765211 has 16 divisors (see below), whose sum is σ = 16535624905728. Its totient is φ = 6754748732000.

The previous prime is 11256788765207. The next prime is 11256788765213.

11256788765211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11256788765211 - 2² = 11256788765207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11256788765213) 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 15 ways as a sum of consecutive naturals, for example, 1688683851 + ... + 1688690516.

It is an arithmetic number, because the mean of its divisors is an integer number (1033476556608).

Almost surely, 2^{11256788765211} is an apocalyptic number.

11256788765211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11256788765211 is a deficient number, since it is larger than the sum of its proper divisors (5278836140517).

11256788765211 is a wasteful number, since it uses less digits than its factorization.

11256788765211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377374482.

The product of its digits is 11289600, while the sum is 60.

It can be divided in two parts, 112567 and 88765211, that added together give a triangular number (88877778 = T₁₃₃₃₂).

The spelling of 11256788765211 in words is "eleven trillion, two hundred fifty-six billion, seven hundred eighty-eight million, seven hundred sixty-five thousand, two hundred eleven".