5285599200 has 864 divisors, whose sum is σ = 23398502400. Its totient is φ = 1094860800.

The previous prime is 5285599181. The next prime is 5285599261. The reversal of 5285599200 is 29955825.

5285599200 is a `hidden beast` number, since 5 + 2 + 8 + 559 + 92 + 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 143 ways as a sum of consecutive naturals, for example, 26560701 + ... + 26560899.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^5285599200 is an apocalyptic number.

5285599200 is a gapful number since it is divisible by the number (50) 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 5285599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

5285599200 is an abundant number, since it is smaller than the sum of its proper divisors (18112903200).

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

5285599200 is a wasteful number, since it uses less digits than its factorization.

5285599200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5285599200 is about 72702.1265163544. The cubic root of 5285599200 is about 1741.9328501487.

The spelling of 5285599200 in words is "five billion, two hundred eighty-five million, five hundred ninety-nine thousand, two hundred".