5617259200 has 168 divisors, whose sum is σ = 15864913152. Its totient is φ = 1917588480.

The previous prime is 5617259189. The next prime is 5617259227. The reversal of 5617259200 is 29527165.

It is a self number, because there is not a number n which added to its sum of digits gives 5617259200.

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 23 ways as a sum of consecutive naturals, for example, 2944647 + ... + 2946553.

Almost surely, 2^5617259200 is an apocalyptic number.

5617259200 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 5617259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932456576).

5617259200 is an abundant number, since it is smaller than the sum of its proper divisors (10247653952).

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

5617259200 is a wasteful number, since it uses less digits than its factorization.

5617259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 5617259200 is about 74948.3769003706. The cubic root of 5617259200 is about 1777.6304792310.

The spelling of 5617259200 in words is "five billion, six hundred seventeen million, two hundred fifty-nine thousand, two hundred".