5685824200 has 96 divisors (see below), whose sum is σ = 15158404800. Its totient is φ = 1942928640.

The previous prime is 5685824113. The next prime is 5685824269. The reversal of 5685824200 is 24285865.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423186 + ... + 436414.

It is an arithmetic number, because the mean of its divisors is an integer number (157900050).

Almost surely, 2^5685824200 is an apocalyptic number.

5685824200 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 5685824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579202400).

5685824200 is an abundant number, since it is smaller than the sum of its proper divisors (9472580600).

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

5685824200 is a wasteful number, since it uses less digits than its factorization.

5685824200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13559 (or 13550 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 5685824200 is about 75404.4043806461. The cubic root of 5685824200 is about 1784.8339128893.

The spelling of 5685824200 in words is "five billion, six hundred eighty-five million, eight hundred twenty-four thousand, two hundred".