86127432800 has 72 divisors (see below), whose sum is σ = 210468951000. Its totient is φ = 34416506880.

The previous prime is 86127432799. The next prime is 86127432857. The reversal of 86127432800 is 823472168.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 753851 + ... + 860549.

It is an arithmetic number, because the mean of its divisors is an integer number (2923179875).

Almost surely, 2^86127432800 is an apocalyptic number.

86127432800 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 86127432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105234475500).

86127432800 is an abundant number, since it is smaller than the sum of its proper divisors (124341518200).

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

86127432800 is a wasteful number, since it uses less digits than its factorization.

86127432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107728 (or 107715 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 86127432800 in words is "eighty-six billion, one hundred twenty-seven million, four hundred thirty-two thousand, eight hundred".