11582535138012 has 36 divisors (see below), whose sum is σ = 29279221873720. Its totient is φ = 3860693800992.

The previous prime is 11582535137981. The next prime is 11582535138073. The reversal of 11582535138012 is 21083153528511.

11582535138012 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 2 + 53 + 513 + 80 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5368243 + ... + 7209930.

Almost surely, 2^{11582535138012} is an apocalyptic number.

11582535138012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11582535138012 is an abundant number, since it is smaller than the sum of its proper divisors (17696686735708).

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

11582535138012 is a wasteful number, since it uses less digits than its factorization.

11582535138012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603762 (or 12603757 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 11582535138012 in words is "eleven trillion, five hundred eighty-two billion, five hundred thirty-five million, one hundred thirty-eight thousand, twelve".