86328031849920 has 1792 divisors, whose sum is σ = 379676436480000. Its totient is φ = 18017009418240.

The previous prime is 86328031849919. The next prime is 86328031849931. The reversal of 86328031849920 is 2994813082368.

86328031849920 is a `hidden beast` number, since 8 + 6 + 32 + 80 + 3 + 18 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21960830355 + ... + 21960834285.

Almost surely, 2^{86328031849920} is an apocalyptic number.

86328031849920 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 86328031849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189838218240000).

86328031849920 is an abundant number, since it is smaller than the sum of its proper divisors (293348404630080).

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

86328031849920 is a wasteful number, since it uses less digits than its factorization.

86328031849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 86328031849920 in words is "eighty-six trillion, three hundred twenty-eight billion, thirty-one million, eight hundred forty-nine thousand, nine hundred twenty".