5605504800 has 576 divisors, whose sum is σ = 22138583040. Its totient is φ = 1204346880.

The previous prime is 5605504787. The next prime is 5605504813. The reversal of 5605504800 is 84055065.

It is an interprime number because it is at equal distance from previous prime (5605504787) and next prime (5605504813).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34389519 + ... + 34389681.

It is an arithmetic number, because the mean of its divisors is an integer number (38435040).

Almost surely, 2^5605504800 is an apocalyptic number.

5605504800 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 5605504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069291520).

5605504800 is an abundant number, since it is smaller than the sum of its proper divisors (16533078240).

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

5605504800 is a wasteful number, since it uses less digits than its factorization.

5605504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5605504800 is about 74869.9191932247. The cubic root of 5605504800 is about 1776.3896860180.

Adding to 5605504800 its reverse (84055065), we get a palindrome (5689559865).

The spelling of 5605504800 in words is "five billion, six hundred five million, five hundred four thousand, eight hundred".