85196416896 has 160 divisors (see below), whose sum is σ = 255790418400. Its totient is φ = 28147101696.

The previous prime is 85196416889. The next prime is 85196416951. The reversal of 85196416896 is 69861469158.

85196416896 is a `hidden beast` number, since 8 + 51 + 96 + 416 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1135225 + ... + 1207943.

It is an arithmetic number, because the mean of its divisors is an integer number (1598690115).

Almost surely, 2^85196416896 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 85196416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895209200).

85196416896 is an abundant number, since it is smaller than the sum of its proper divisors (170594001504).

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

85196416896 is a wasteful number, since it uses less digits than its factorization.

85196416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72858 (or 72837 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 85196416896 in words is "eighty-five billion, one hundred ninety-six million, four hundred sixteen thousand, eight hundred ninety-six".