85899727120 has 20 divisors (see below), whose sum is σ = 199716865740. Its totient is φ = 34359890816.

The previous prime is 85899727117. The next prime is 85899727127. The reversal of 85899727120 is 2172799858.

It can be written as a sum of positive squares in 2 ways, for example, as 13456928016 + 72442799104 = 116004^2 + 269152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (85899727127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536873215 + ... + 536873374.

It is an arithmetic number, because the mean of its divisors is an integer number (9985843287).

Almost surely, 2^85899727120 is an apocalyptic number.

85899727120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85899727120 is an abundant number, since it is smaller than the sum of its proper divisors (113817138620).

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

85899727120 is a wasteful number, since it uses less digits than its factorization.

85899727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073746602 (or 1073746596 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 58.

The spelling of 85899727120 in words is "eighty-five billion, eight hundred ninety-nine million, seven hundred twenty-seven thousand, one hundred twenty".