86444589120 has 112 divisors (see below), whose sum is σ = 274695269760. Its totient is φ = 23032262656.

The previous prime is 86444589109. The next prime is 86444589157. The reversal of 86444589120 is 2198544468.

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, 1107541 + ... + 1183019.

Almost surely, 2^86444589120 is an apocalyptic number.

86444589120 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 86444589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137347634880).

86444589120 is an abundant number, since it is smaller than the sum of its proper divisors (188250680640).

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

86444589120 is a wasteful number, since it uses less digits than its factorization.

86444589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76692 (or 76682 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 86444589120 in words is "eighty-six billion, four hundred forty-four million, five hundred eighty-nine thousand, one hundred twenty".