5616441600 has 864 divisors, whose sum is σ = 24088458240. Its totient is φ = 1118208000.

The previous prime is 5616441587. The next prime is 5616441601. The reversal of 5616441600 is 61446165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616441601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42873535 + ... + 42873665.

It is an arithmetic number, because the mean of its divisors is an integer number (27880160).

Almost surely, 2^5616441600 is an apocalyptic number.

5616441600 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 5616441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044229120).

5616441600 is an abundant number, since it is smaller than the sum of its proper divisors (18472016640).

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

5616441600 is a wasteful number, since it uses less digits than its factorization.

5616441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5616441600 is about 74942.9222808932. The cubic root of 5616441600 is about 1777.5442295051.

Adding to 5616441600 its reverse (61446165), we get a palindrome (5677887765).

The spelling of 5616441600 in words is "five billion, six hundred sixteen million, four hundred forty-one thousand, six hundred".