586379966913 has 48 divisors (see below), whose sum is σ = 927828720000. Its totient is φ = 354648236544.

The previous prime is 586379966891. The next prime is 586379966941. The reversal of 586379966913 is 319669973685.

586379966913 is a `hidden beast` number, since 5 + 86 + 379 + 96 + 6 + 91 + 3 = 666.

It is not a de Polignac number, because 586379966913 - 2⁹ = 586379966401 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (586378966913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40575513 + ... + 40589961.

It is an arithmetic number, because the mean of its divisors is an integer number (19329765000).

Almost surely, 2^586379966913 is an apocalyptic number.

It is an amenable number.

586379966913 is a deficient number, since it is larger than the sum of its proper divisors (341448753087).

586379966913 is a wasteful number, since it uses less digits than its factorization.

586379966913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20406 (or 20403 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 586379966913 in words is "five hundred eighty-six billion, three hundred seventy-nine million, nine hundred sixty-six thousand, nine hundred thirteen".