85590439392 has 96 divisors (see below), whose sum is σ = 236650982400. Its totient is φ = 27011294208.

The previous prime is 85590439351. The next prime is 85590439399. The reversal of 85590439392 is 29393409558.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) 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 (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85590439399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3008209 + ... + 3036527.

It is an arithmetic number, because the mean of its divisors is an integer number (2465114400).

Almost surely, 2^85590439392 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 85590439392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118325491200).

85590439392 is an abundant number, since it is smaller than the sum of its proper divisors (151060543008).

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

85590439392 is a wasteful number, since it uses less digits than its factorization.

85590439392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30008 (or 30000 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 85590439392 in words is "eighty-five billion, five hundred ninety million, four hundred thirty-nine thousand, three hundred ninety-two".