5604105600 has 288 divisors, whose sum is σ = 20645077440. Its totient is φ = 1445990400.

The previous prime is 5604105599. The next prime is 5604105649. The reversal of 5604105600 is 65014065.

It is a happy number.

5604105600 is a `hidden beast` number, since 5 + 60 + 41 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 889662 + ... + 895938.

Almost surely, 2^5604105600 is an apocalyptic number.

5604105600 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 5604105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322538720).

5604105600 is an abundant number, since it is smaller than the sum of its proper divisors (15040971840).

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

5604105600 is a wasteful number, since it uses less digits than its factorization.

5604105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5604105600 is about 74860.5744033533. The cubic root of 5604105600 is about 1776.2418711246.

Adding to 5604105600 its reverse (65014065), we get a palindrome (5669119665).

The spelling of 5604105600 in words is "five billion, six hundred four million, one hundred five thousand, six hundred".