11585434504138 has 64 divisors (see below), whose sum is σ = 19688772280320. Its totient is φ = 5064575947200.

The previous prime is 11585434504123. The next prime is 11585434504153. The reversal of 11585434504138 is 83140543458511.

11585434504138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11585434504123) and next prime (11585434504153).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168635631 + ... + 168704317.

It is an arithmetic number, because the mean of its divisors is an integer number (307637066880).

Almost surely, 2^{11585434504138} is an apocalyptic number.

11585434504138 is a deficient number, since it is larger than the sum of its proper divisors (8103337776182).

11585434504138 is a wasteful number, since it uses less digits than its factorization.

11585434504138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69763.

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 11585434504138 in words is "eleven trillion, five hundred eighty-five billion, four hundred thirty-four million, five hundred four thousand, one hundred thirty-eight".