85853328816 has 80 divisors (see below), whose sum is σ = 224398896480. Its totient is φ = 28281200640.

The previous prime is 85853328791. The next prime is 85853328829. The reversal of 85853328816 is 61882335858.

It is a happy number.

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, 10423836 + ... + 10432068.

It is an arithmetic number, because the mean of its divisors is an integer number (2804986206).

Almost surely, 2^85853328816 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 85853328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112199448240).

85853328816 is an abundant number, since it is smaller than the sum of its proper divisors (138545567664).

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

85853328816 is a wasteful number, since it uses less digits than its factorization.

85853328816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10768 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The spelling of 85853328816 in words is "eighty-five billion, eight hundred fifty-three million, three hundred twenty-eight thousand, eight hundred sixteen".