85656899584 has 117 divisors (see below), whose sum is σ = 182640599947. Its totient is φ = 40159281152.

The previous prime is 85656899527. The next prime is 85656899591. The reversal of 85656899584 is 48599865658.

The square root of 85656899584 is 292672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4472934400 + 81183965184 = 66880^2 + 284928^2 .

It is a Duffinian number.

Its product of digits (746496000) is a multiple of the sum of its prime divisors (288).

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 8 ways as a sum of consecutive naturals, for example, 318427002 + ... + 318427270.

Almost surely, 2^85656899584 is an apocalyptic number.

85656899584 is the 292672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85656899584

85656899584 is an abundant number, since it is smaller than the sum of its proper divisors (96983700363).

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

85656899584 is an frugal number, since it uses more digits than its factorization.

85656899584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 288 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 73.

The spelling of 85656899584 in words is "eighty-five billion, six hundred fifty-six million, eight hundred ninety-nine thousand, five hundred eighty-four".