5005505600 has 84 divisors (see below), whose sum is σ = 12348400500. Its totient is φ = 1997045760.

The previous prime is 5005505599. The next prime is 5005505633. The reversal of 5005505600 is 65055005.

It can be written as a sum of positive squares in 6 ways, for example, as 170250304 + 4835255296 = 13048^2 + 69536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5005505600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650576 + ... + 658224.

Almost surely, 2^5005505600 is an apocalyptic number.

5005505600 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 5005505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174200250).

5005505600 is an abundant number, since it is smaller than the sum of its proper divisors (7342894900).

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

5005505600 is a wasteful number, since it uses less digits than its factorization.

5005505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 5005505600 is about 70749.5978787159. The cubic root of 5005505600 is about 1710.6033460238.

The spelling of 5005505600 in words is "five billion, five million, five hundred five thousand, six hundred".