86817813120 has 256 divisors, whose sum is σ = 308813731200. Its totient is φ = 23050985472.

The previous prime is 86817813101. The next prime is 86817813133. The reversal of 86817813120 is 2131871868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4015459 + ... + 4037021.

Almost surely, 2^86817813120 is an apocalyptic number.

86817813120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86817813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154406865600).

86817813120 is an abundant number, since it is smaller than the sum of its proper divisors (221995918080).

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

86817813120 is a wasteful number, since it uses less digits than its factorization.

86817813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 86817813120 in words is "eighty-six billion, eight hundred seventeen million, eight hundred thirteen thousand, one hundred twenty".