86180590080 has 360 divisors, whose sum is σ = 323207352468. Its totient is φ = 21212725248.

The previous prime is 86180590079. The next prime is 86180590087. The reversal of 86180590080 is 8009508168.

It can be written as a sum of positive squares in 6 ways, for example, as 8326197504 + 77854392576 = 91248^2 + 279024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (86180590087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3882694 + ... + 3904826.

Almost surely, 2^86180590080 is an apocalyptic number.

86180590080 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 86180590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161603676234).

86180590080 is an abundant number, since it is smaller than the sum of its proper divisors (237026762388).

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

86180590080 is a wasteful number, since it uses less digits than its factorization.

86180590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22188 (or 22156 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 86180590080 in words is "eighty-six billion, one hundred eighty million, five hundred ninety thousand, eighty".