86365794816 has 240 divisors, whose sum is σ = 286589407104. Its totient is φ = 24526651392.

The previous prime is 86365794803. The next prime is 86365794833. The reversal of 86365794816 is 61849756368.

86365794816 is a `hidden beast` number, since 8 + 6 + 3 + 6 + 579 + 48 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5378736 + ... + 5394768.

Almost surely, 2^86365794816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86365794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294703552).

86365794816 is an abundant number, since it is smaller than the sum of its proper divisors (200223612288).

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

86365794816 is a wasteful number, since it uses less digits than its factorization.

86365794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16231 (or 16212 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 86365794816 in words is "eighty-six billion, three hundred sixty-five million, seven hundred ninety-four thousand, eight hundred sixteen".