85285668600 has 1152 divisors, whose sum is σ = 347634892800. Its totient is φ = 18506880000.

The previous prime is 85285668599. The next prime is 85285668607. The reversal of 85285668600 is 686658258.

85285668600 is a `hidden beast` number, since 8 + 5 + 28 + 5 + 6 + 6 + 8 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85285668607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 828016149 + ... + 828016251.

It is an arithmetic number, because the mean of its divisors is an integer number (301766400).

Almost surely, 2^85285668600 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 85285668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173817446400).

85285668600 is an abundant number, since it is smaller than the sum of its proper divisors (262349224200).

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

85285668600 is a wasteful number, since it uses less digits than its factorization.

85285668600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 85285668600 in words is "eighty-five billion, two hundred eighty-five million, six hundred sixty-eight thousand, six hundred".