11585434504128 has 56 divisors (see below), whose sum is σ = 30757747128528. Its totient is φ = 3848631238656.

The previous prime is 11585434504123. The next prime is 11585434504153. The reversal of 11585434504128 is 82140543458511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11585434504123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102914401 + ... + 103026912.

It is an arithmetic number, because the mean of its divisors is an integer number (549245484438).

Almost surely, 2^{11585434504128} is an apocalyptic number.

It is an amenable number.

11585434504128 is an abundant number, since it is smaller than the sum of its proper divisors (19172312624400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11585434504128 is a wasteful number, since it uses less digits than its factorization.

11585434504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205941621 (or 205941611 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 51.

The spelling of 11585434504128 in words is "eleven trillion, five hundred eighty-five billion, four hundred thirty-four million, five hundred four thousand, one hundred twenty-eight".