86189335440 has 160 divisors (see below), whose sum is σ = 288121975680. Its totient is φ = 21187657728.

The previous prime is 86189335429. The next prime is 86189335459. The reversal of 86189335440 is 4453398168.

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 31 ways as a sum of consecutive naturals, for example, 2381319 + ... + 2417241.

It is an arithmetic number, because the mean of its divisors is an integer number (1800762348).

Almost surely, 2^86189335440 is an apocalyptic number.

86189335440 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 86189335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144060987840).

86189335440 is an abundant number, since it is smaller than the sum of its proper divisors (201932640240).

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

86189335440 is a wasteful number, since it uses less digits than its factorization.

86189335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36721 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 86189335440 in words is "eighty-six billion, one hundred eighty-nine million, three hundred thirty-five thousand, four hundred forty".