85856664960 has 512 divisors, whose sum is σ = 349192512000. Its totient is φ = 19717447680.

The previous prime is 85856664847. The next prime is 85856664977. The reversal of 85856664960 is 6946665858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3599634 + ... + 3623406.

It is an arithmetic number, because the mean of its divisors is an integer number (682016625).

Almost surely, 2^85856664960 is an apocalyptic number.

85856664960 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 85856664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174596256000).

85856664960 is an abundant number, since it is smaller than the sum of its proper divisors (263335847040).

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

85856664960 is a wasteful number, since it uses less digits than its factorization.

85856664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23831 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 85856664960 in words is "eighty-five billion, eight hundred fifty-six million, six hundred sixty-four thousand, nine hundred sixty".