86390050900 has 72 divisors (see below), whose sum is σ = 198583774200. Its totient is φ = 32508579840.

The previous prime is 86390050891. The next prime is 86390050963. The reversal of 86390050900 is 905009368.

It can be written as a sum of positive squares in 12 ways, for example, as 355775044 + 86034275856 = 18862^2 + 293316^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4193826 + ... + 4214374.

It is an arithmetic number, because the mean of its divisors is an integer number (2758107975).

Almost surely, 2^86390050900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86390050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99291887100).

86390050900 is an abundant number, since it is smaller than the sum of its proper divisors (112193723300).

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

86390050900 is a wasteful number, since it uses less digits than its factorization.

86390050900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23053 (or 23046 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 86390050900 in words is "eighty-six billion, three hundred ninety million, fifty thousand, nine hundred".