5616003600 has 135 divisors (see below), whose sum is σ = 19504708743. Its totient is φ = 1496401920.

The previous prime is 5616003581. The next prime is 5616003623. The reversal of 5616003600 is 63006165.

The square root of 5616003600 is 74940.

It is a perfect power (a square), and thus also a powerful number.

5616003600 is a `hidden beast` number, since 56 + 1 + 6 + 0 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299843856 + 5316159744 = 17316^2 + 72912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4495776 + ... + 4497024.

Almost surely, 2^5616003600 is an apocalyptic number.

5616003600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5616003600 is the 74940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5616003600

5616003600 is an abundant number, since it is smaller than the sum of its proper divisors (13888705143).

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

5616003600 is a wasteful number, since it uses less digits than its factorization.

5616003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 5616003600 is about 1777.4980208515.

Adding to 5616003600 its reverse (63006165), we get a palindrome (5679009765).

The spelling of 5616003600 in words is "five billion, six hundred sixteen million, three thousand, six hundred".