85259163600 has 960 divisors, whose sum is σ = 355443916800. Its totient is φ = 19222272000.

The previous prime is 85259163593. The next prime is 85259163617. The reversal of 85259163600 is 636195258.

85259163600 is a `hidden beast` number, since 8 + 5 + 2 + 5 + 9 + 1 + 636 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82695085 + ... + 82696115.

It is an arithmetic number, because the mean of its divisors is an integer number (370254080).

Almost surely, 2^85259163600 is an apocalyptic number.

85259163600 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 85259163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177721958400).

85259163600 is an abundant number, since it is smaller than the sum of its proper divisors (270184753200).

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

85259163600 is a wasteful number, since it uses less digits than its factorization.

85259163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 85259163600 in words is "eighty-five billion, two hundred fifty-nine million, one hundred sixty-three thousand, six hundred".