85916616095 has 16 divisors (see below), whose sum is σ = 106498375680. Its totient is φ = 66470695200.

The previous prime is 85916616041. The next prime is 85916616139. The reversal of 85916616095 is 59061661958.

It is a happy number.

It is not a de Polignac number, because 85916616095 - 2³⁰ = 84842874271 is a prime.

It is a super-2 number, since 2×85916616095² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 85916616095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39596 + ... + 416414.

It is an arithmetic number, because the mean of its divisors is an integer number (6656148480).

Almost surely, 2^85916616095 is an apocalyptic number.

85916616095 is a deficient number, since it is larger than the sum of its proper divisors (20581759585).

85916616095 is a wasteful number, since it uses less digits than its factorization.

85916616095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378326.

The product of its (nonzero) digits is 3499200, while the sum is 56.

The spelling of 85916616095 in words is "eighty-five billion, nine hundred sixteen million, six hundred sixteen thousand, ninety-five".