86210735085 has 24 divisors (see below), whose sum is σ = 149875385400. Its totient is φ = 45842614272.

The previous prime is 86210735081. The next prime is 86210735099. The reversal of 86210735085 is 58053701268.

86210735085 is a `hidden beast` number, since 8 + 6 + 210 + 7 + 350 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22390333956 + 63820401129 = 149634^2 + 252627^2 .

It is not a de Polignac number, because 86210735085 - 2² = 86210735081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 86210735085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86210735081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827260 + ... + 2857589.

It is an arithmetic number, because the mean of its divisors is an integer number (6244807725).

Almost surely, 2^86210735085 is an apocalyptic number.

It is an amenable number.

86210735085 is a deficient number, since it is larger than the sum of its proper divisors (63664650315).

86210735085 is a wasteful number, since it uses less digits than its factorization.

86210735085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685197 (or 5685194 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 86210735085 in words is "eighty-six billion, two hundred ten million, seven hundred thirty-five thousand, eighty-five".