86338090080 has 1536 divisors, whose sum is σ = 367873228800. Its totient is φ = 18695577600.

The previous prime is 86338090079. The next prime is 86338090159. The reversal of 86338090080 is 8009083368.

86338090080 is a `hidden beast` number, since 8 + 633 + 8 + 0 + 9 + 0 + 0 + 8 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1836980617 + ... + 1836980663.

It is an arithmetic number, because the mean of its divisors is an integer number (239500800).

Almost surely, 2^86338090080 is an apocalyptic number.

86338090080 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 86338090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183936614400).

86338090080 is an abundant number, since it is smaller than the sum of its proper divisors (281535138720).

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

86338090080 is a wasteful number, since it uses less digits than its factorization.

86338090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86338090080 in words is "eighty-six billion, three hundred thirty-eight million, ninety thousand, eighty".