11056155165011 has 16 divisors (see below), whose sum is σ = 12115938969600. Its totient is φ = 10005499058400.

The previous prime is 11056155164939. The next prime is 11056155165049.

11056155165011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11056155165011 - 2²² = 11056150970707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11056155165071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14951996 + ... + 15674006.

It is an arithmetic number, because the mean of its divisors is an integer number (757246185600).

Almost surely, 2^{11056155165011} is an apocalyptic number.

11056155165011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11056155165011 is a deficient number, since it is larger than the sum of its proper divisors (1059783804589).

11056155165011 is a wasteful number, since it uses less digits than its factorization.

11056155165011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728330.

The product of its (nonzero) digits is 22500, while the sum is 38.

The spelling of 11056155165011 in words is "eleven trillion, fifty-six billion, one hundred fifty-five million, one hundred sixty-five thousand, eleven".