11586805457013 has 12 divisors (see below), whose sum is σ = 17720996581548. Its totient is φ = 7270152443520.

The previous prime is 11586805456981. The next prime is 11586805457033. The reversal of 11586805457013 is 31075450868511.

11586805457013 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 6 + 8 + 0 + 54 + 570 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10878637765284 + 708167691729 = 3298278^2 + 841527^2 .

It is not a de Polignac number, because 11586805457013 - 2⁵ = 11586805456981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11586805457033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37865377158 + ... + 37865377463.

It is an arithmetic number, because the mean of its divisors is an integer number (1476749715129).

Almost surely, 2^{11586805457013} is an apocalyptic number.

It is an amenable number.

11586805457013 is a deficient number, since it is larger than the sum of its proper divisors (6134191124535).

11586805457013 is a wasteful number, since it uses less digits than its factorization.

11586805457013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75730754644 (or 75730754641 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 11586805457013 in words is "eleven trillion, five hundred eighty-six billion, eight hundred five million, four hundred fifty-seven thousand, thirteen".