86393416209 has 16 divisors (see below), whose sum is σ = 116844539904. Its totient is φ = 56769381200.

The previous prime is 86393416189. The next prime is 86393416223. The reversal of 86393416209 is 90261439368.

It is a cyclic number.

It is not a de Polignac number, because 86393416209 - 2¹⁷ = 86393285137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86393416279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783904 + ... + 887294.

It is an arithmetic number, because the mean of its divisors is an integer number (7302783744).

Almost surely, 2^86393416209 is an apocalyptic number.

It is an amenable number.

86393416209 is a deficient number, since it is larger than the sum of its proper divisors (30451123695).

86393416209 is a wasteful number, since it uses less digits than its factorization.

86393416209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107388.

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 86393416209 in words is "eighty-six billion, three hundred ninety-three million, four hundred sixteen thousand, two hundred nine".