85649998920 has 256 divisors, whose sum is σ = 277608038400. Its totient is φ = 21070264320.

The previous prime is 85649998909. The next prime is 85649998933. The reversal of 85649998920 is 2989994658.

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, 37548180 + ... + 37550460.

It is an arithmetic number, because the mean of its divisors is an integer number (1084406400).

Almost surely, 2^85649998920 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 85649998920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138804019200).

85649998920 is an abundant number, since it is smaller than the sum of its proper divisors (191958039480).

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

85649998920 is a wasteful number, since it uses less digits than its factorization.

85649998920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 69.

The spelling of 85649998920 in words is "eighty-five billion, six hundred forty-nine million, nine hundred ninety-eight thousand, nine hundred twenty".