86579041920 has 512 divisors, whose sum is σ = 342735667200. Its totient is φ = 18141511680.

The previous prime is 86579041919. The next prime is 86579041931. The reversal of 86579041920 is 2914097568.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7910692 + ... + 7921628.

It is an arithmetic number, because the mean of its divisors is an integer number (669405600).

Almost surely, 2^86579041920 is an apocalyptic number.

86579041920 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 86579041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171367833600).

86579041920 is an abundant number, since it is smaller than the sum of its proper divisors (256156625280).

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

86579041920 is a wasteful number, since it uses less digits than its factorization.

86579041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11016 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 86579041920 in words is "eighty-six billion, five hundred seventy-nine million, forty-one thousand, nine hundred twenty".