5598259200 has 216 divisors, whose sum is σ = 20050962750. Its totient is φ = 1492746240.

The previous prime is 5598259181. The next prime is 5598259243. The reversal of 5598259200 is 29528955.

5598259200 is a `hidden beast` number, since 5 + 59 + 8 + 2 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5365269504 + 232989696 = 73248^2 + 15264^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 454726 + ... + 466874.

Almost surely, 2^5598259200 is an apocalyptic number.

5598259200 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 5598259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025481375).

5598259200 is an abundant number, since it is smaller than the sum of its proper divisors (14452703550).

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

5598259200 is a wasteful number, since it uses less digits than its factorization.

5598259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12159 counting only the distinct ones).

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

The square root of 5598259200 is about 74821.5156221792. The cubic root of 5598259200 is about 1775.6239768811.

The spelling of 5598259200 in words is "five billion, five hundred ninety-eight million, two hundred fifty-nine thousand, two hundred".