5600513433600 has 504 divisors, whose sum is σ = 20084345658000. Its totient is φ = 1491737640960.

The previous prime is 5600513433569. The next prime is 5600513433617. The reversal of 5600513433600 is 63343150065.

5600513433600 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 5 + 1 + 3 + 43 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2762955787 + ... + 2762957813.

Almost surely, 2^{5600513433600} is an apocalyptic number.

5600513433600 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 5600513433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042172829000).

5600513433600 is an abundant number, since it is smaller than the sum of its proper divisors (14483832224400).

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

5600513433600 is a wasteful number, since it uses less digits than its factorization.

5600513433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 5600513433600 its reverse (63343150065), we get a palindrome (5663856583665).

The spelling of 5600513433600 in words is "five trillion, six hundred billion, five hundred thirteen million, four hundred thirty-three thousand, six hundred".