11638135755 has 64 divisors (see below), whose sum is σ = 21020083200. Its totient is φ = 6108318720.

The previous prime is 11638135739. The next prime is 11638135777. The reversal of 11638135755 is 55753183611.

11638135755 is a `hidden beast` number, since 1 + 1 + 63 + 8 + 13 + 575 + 5 = 666.

It is not a de Polignac number, because 11638135755 - 2⁴ = 11638135739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11638135755.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8903812 + ... + 8905118.

It is an arithmetic number, because the mean of its divisors is an integer number (328438800).

Almost surely, 2^11638135755 is an apocalyptic number.

11638135755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11638135755 is a deficient number, since it is larger than the sum of its proper divisors (9381947445).

11638135755 is a wasteful number, since it uses less digits than its factorization.

11638135755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2315 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 11638135755 in words is "eleven billion, six hundred thirty-eight million, one hundred thirty-five thousand, seven hundred fifty-five".