85586317296 has 160 divisors (see below), whose sum is σ = 229509477120. Its totient is φ = 27465080832.

The previous prime is 85586317279. The next prime is 85586317337. The reversal of 85586317296 is 69271368558.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58660215 + ... + 58661673.

It is an arithmetic number, because the mean of its divisors is an integer number (1434434232).

Almost surely, 2^85586317296 is an apocalyptic number.

85586317296 is a gapful number since it is divisible by the number (86) 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 85586317296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114754738560).

85586317296 is an abundant number, since it is smaller than the sum of its proper divisors (143923159824).

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

85586317296 is a wasteful number, since it uses less digits than its factorization.

85586317296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 85586317296 in words is "eighty-five billion, five hundred eighty-six million, three hundred seventeen thousand, two hundred ninety-six".