11586617085 has 16 divisors (see below), whose sum is σ = 18540860544. Its totient is φ = 6178771392.

The previous prime is 11586617027. The next prime is 11586617089. The reversal of 11586617085 is 58071668511.

It is a happy number.

It is not a de Polignac number, because 11586617085 - 2¹⁰ = 11586616061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11586617089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92344 + ... + 178046.

It is an arithmetic number, because the mean of its divisors is an integer number (1158803784).

Almost surely, 2^11586617085 is an apocalyptic number.

11586617085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11586617085 is a deficient number, since it is larger than the sum of its proper divisors (6954243459).

11586617085 is an equidigital number, since it uses as much as digits as its factorization.

11586617085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94724.

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 11586617085 in words is "eleven billion, five hundred eighty-six million, six hundred seventeen thousand, eighty-five".