85817096704 has 160 divisors (see below), whose sum is σ = 187192304640. Its totient is φ = 39138951168.

The previous prime is 85817096639. The next prime is 85817096723. The reversal of 85817096704 is 40769071858.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141378769 + ... + 141379375.

It is an arithmetic number, because the mean of its divisors is an integer number (1169951904).

Almost surely, 2^85817096704 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 85817096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93596152320).

85817096704 is an abundant number, since it is smaller than the sum of its proper divisors (101375207936).

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

85817096704 is a wasteful number, since it uses less digits than its factorization.

85817096704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 85817096704 in words is "eighty-five billion, eight hundred seventeen million, ninety-six thousand, seven hundred four".