11355666655311 has 128 divisors (see below), whose sum is σ = 19962422169600. Its totient is φ = 6304845962880.

The previous prime is 11355666655247. The next prime is 11355666655327.

11355666655311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11355666655311 - 2⁶ = 11355666655247 is a prime.

It is a super-2 number, since 2×11355666655311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355666655351) 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 127 ways as a sum of consecutive naturals, for example, 33866100 + ... + 34199766.

It is an arithmetic number, because the mean of its divisors is an integer number (155956423200).

Almost surely, 2^{11355666655311} is an apocalyptic number.

11355666655311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11355666655311 is a deficient number, since it is larger than the sum of its proper divisors (8606755514289).

11355666655311 is a wasteful number, since it uses less digits than its factorization.

11355666655311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333906 (or 333900 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

It can be divided in two parts, 11355 and 666655311, that added together give a palindrome (666666666).

The spelling of 11355666655311 in words is "eleven trillion, three hundred fifty-five billion, six hundred sixty-six million, six hundred fifty-five thousand, three hundred eleven".