5993985600 has 126 divisors (see below), whose sum is σ = 21304091250. Its totient is φ = 1598392320.

The previous prime is 5993985593. The next prime is 5993985601. The reversal of 5993985600 is 65893995.

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 5983331904 = 3264^2 + 77352^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5993985601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193725 + ... + 222524.

Almost surely, 2^5993985600 is an apocalyptic number.

5993985600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5993985600 is an abundant number, since it is smaller than the sum of its proper divisors (15310105650).

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

5993985600 is a wasteful number, since it uses less digits than its factorization.

5993985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416277 (or 416259 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 5993985600 is about 77420.8344052168. The cubic root of 5993985600 is about 1816.5132292858.

The spelling of 5993985600 in words is "five billion, nine hundred ninety-three million, nine hundred eighty-five thousand, six hundred".