11355277255311 has 32 divisors (see below), whose sum is σ = 16588221914880. Its totient is φ = 6852267417600.

The previous prime is 11355277255219. The next prime is 11355277255321.

11355277255311 is nontrivially palindromic in base 10.

11355277255311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11355277255311 - 2¹¹ = 11355277253263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355277255321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723861 + ... + 9075713.

It is an arithmetic number, because the mean of its divisors is an integer number (518381934840).

Almost surely, 2^{11355277255311} is an apocalyptic number.

11355277255311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11355277255311 is a deficient number, since it is larger than the sum of its proper divisors (5232944659569).

11355277255311 is a wasteful number, since it uses less digits than its factorization.

11355277255311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352967.

The product of its digits is 1102500, while the sum is 48.

The spelling of 11355277255311 in words is "eleven trillion, three hundred fifty-five billion, two hundred seventy-seven million, two hundred fifty-five thousand, three hundred eleven".