85899345920 has 70 divisors (see below), whose sum is σ = 206158430202. Its totient is φ = 34359738368.

The previous prime is 85899345869. The next prime is 85899345923. The reversal of 85899345920 is 2954399858.

It can be written as a sum of positive squares in only one way, i.e., 68719476736 + 17179869184 = 262144^2 + 131072^2 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85899345923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 85899345920 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17179869182 + ... + 17179869186.

Almost surely, 2^85899345920 is an apocalyptic number.

85899345920 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 85899345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103079215101).

85899345920 is an abundant number, since it is smaller than the sum of its proper divisors (120259084282).

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

85899345920 is an frugal number, since it uses more digits than its factorization.

85899345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 62.

The spelling of 85899345920 in words is "eighty-five billion, eight hundred ninety-nine million, three hundred forty-five thousand, nine hundred twenty".