86404555120 has 80 divisors (see below), whose sum is σ = 217114353792. Its totient is φ = 31789578240.

The previous prime is 86404555109. The next prime is 86404555141. The reversal of 86404555120 is 2155540468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×86404555120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 144409 + ... + 440071.

Almost surely, 2^86404555120 is an apocalyptic number.

86404555120 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 86404555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108557176896).

86404555120 is an abundant number, since it is smaller than the sum of its proper divisors (130709798672).

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

86404555120 is a wasteful number, since it uses less digits than its factorization.

86404555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295970 (or 295964 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 86404555120 in words is "eighty-six billion, four hundred four million, five hundred fifty-five thousand, one hundred twenty".