5600217600 has 360 divisors, whose sum is σ = 20229215292. Its totient is φ = 1479475200.

The previous prime is 5600217563. The next prime is 5600217613. The reversal of 5600217600 is 67120065.

5600217600 is a `hidden beast` number, since 56 + 0 + 0 + 2 + 1 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3828144384 + 1772073216 = 61872^2 + 42096^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19929460 + ... + 19929740.

Almost surely, 2^5600217600 is an apocalyptic number.

5600217600 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 5600217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114607646).

5600217600 is an abundant number, since it is smaller than the sum of its proper divisors (14628997692).

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

5600217600 is a wasteful number, since it uses less digits than its factorization.

5600217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5600217600 is about 74834.6016225115. The cubic root of 5600217600 is about 1775.8310041291.

Adding to 5600217600 its reverse (67120065), we get a palindrome (5667337665).

The spelling of 5600217600 in words is "five billion, six hundred million, two hundred seventeen thousand, six hundred".