86199516306 has 64 divisors (see below), whose sum is σ = 198213840000. Its totient is φ = 27734809536.

The previous prime is 86199516289. The next prime is 86199516349. The reversal of 86199516306 is 60361599168.

86199516306 is a `hidden beast` number, since 8 + 6 + 1 + 99 + 516 + 30 + 6 = 666.

It is a super-2 number, since 2×86199516306² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9985200 + ... + 9993828.

It is an arithmetic number, because the mean of its divisors is an integer number (3097091250).

Almost surely, 2^86199516306 is an apocalyptic number.

86199516306 is an abundant number, since it is smaller than the sum of its proper divisors (112014323694).

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

86199516306 is a wasteful number, since it uses less digits than its factorization.

86199516306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 86199516306 in words is "eighty-six billion, one hundred ninety-nine million, five hundred sixteen thousand, three hundred six".