86008116384 has 96 divisors (see below), whose sum is σ = 250926984000. Its totient is φ = 28661375232.

The previous prime is 86008116347. The next prime is 86008116427. The reversal of 86008116384 is 48361180068.

It is a happy number.

86008116384 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 8 + 1 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×86008116384³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3642087 + ... + 3665625.

It is an arithmetic number, because the mean of its divisors is an integer number (2613822750).

Almost surely, 2^86008116384 is an apocalyptic number.

It is an amenable number.

86008116384 is an abundant number, since it is smaller than the sum of its proper divisors (164918867616).

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

86008116384 is a wasteful number, since it uses less digits than its factorization.

86008116384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27787 (or 27773 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 86008116384 in words is "eighty-six billion, eight million, one hundred sixteen thousand, three hundred eighty-four".