85885027101 has 12 divisors (see below), whose sum is σ = 124060930812. Its totient is φ = 57254478336.

The previous prime is 85885027091. The next prime is 85885027117. The reversal of 85885027101 is 10172058858.

85885027101 is a `hidden beast` number, since 8 + 588 + 50 + 2 + 7 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26470964601 + 59414062500 = 162699^2 + 243750^2 .

It is not a de Polignac number, because 85885027101 - 2⁵ = 85885027069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85885027121) 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, 83055 + ... + 422691.

It is an arithmetic number, because the mean of its divisors is an integer number (10338410901).

Almost surely, 2^85885027101 is an apocalyptic number.

It is an amenable number.

85885027101 is a deficient number, since it is larger than the sum of its proper divisors (38175903711).

85885027101 is a wasteful number, since it uses less digits than its factorization.

85885027101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367740 (or 367737 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 85885027101 in words is "eighty-five billion, eight hundred eighty-five million, twenty-seven thousand, one hundred one".