86302990080 has 144 divisors (see below), whose sum is σ = 306255872160. Its totient is φ = 23014121472.

The previous prime is 86302990031. The next prime is 86302990087. The reversal of 86302990080 is 8009920368.

86302990080 is a `hidden beast` number, since 8 + 630 + 2 + 9 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86302990087) by changing a digit.

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, 1214037 + ... + 1283156.

It is an arithmetic number, because the mean of its divisors is an integer number (2126776890).

Almost surely, 2^86302990080 is an apocalyptic number.

86302990080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86302990080 is an abundant number, since it is smaller than the sum of its proper divisors (219952882080).

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

86302990080 is a wasteful number, since it uses less digits than its factorization.

86302990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497223 (or 2497203 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86302990080 in words is "eighty-six billion, three hundred two million, nine hundred ninety thousand, eighty".