86200013376 has 70 divisors (see below), whose sum is σ = 255523859030. Its totient is φ = 28733336064.

The previous prime is 86200013363. The next prime is 86200013381. The reversal of 86200013376 is 67331000268.

It is a happy number.

86200013376 is a `hidden beast` number, since 86 + 200 + 0 + 1 + 3 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74660097600 + 11539915776 = 273240^2 + 107424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86200013376.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8308861 + ... + 8319228.

Almost surely, 2^86200013376 is an apocalyptic number.

It is an amenable number.

86200013376 is an abundant number, since it is smaller than the sum of its proper divisors (169323845654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86200013376 is a wasteful number, since it uses less digits than its factorization.

86200013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16628113 (or 16628094 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 86200013376 in words is "eighty-six billion, two hundred million, thirteen thousand, three hundred seventy-six".