86166880320 has 112 divisors (see below), whose sum is σ = 274725262080. Its totient is φ = 22881632256.

The previous prime is 86166880243. The next prime is 86166880333. The reversal of 86166880320 is 2308866168.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86166880320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41664 + ... + 417216.

Almost surely, 2^86166880320 is an apocalyptic number.

86166880320 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 86166880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137362631040).

86166880320 is an abundant number, since it is smaller than the sum of its proper divisors (188558381760).

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

86166880320 is a wasteful number, since it uses less digits than its factorization.

86166880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375812 (or 375802 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 86166880320 in words is "eighty-six billion, one hundred sixty-six million, eight hundred eighty thousand, three hundred twenty".