5005593600 has 264 divisors, whose sum is σ = 18909170688. Its totient is φ = 1144012800.

The previous prime is 5005593599. The next prime is 5005593617. The reversal of 5005593600 is 63955005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532945 + ... + 542255.

Almost surely, 2^5005593600 is an apocalyptic number.

5005593600 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 5005593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454585344).

5005593600 is an abundant number, since it is smaller than the sum of its proper divisors (13903577088).

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

5005593600 is a wasteful number, since it uses less digits than its factorization.

5005593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 5005593600 is about 70750.2197876445. The cubic root of 5005593600 is about 1710.6133704665.

The spelling of 5005593600 in words is "five billion, five million, five hundred ninety-three thousand, six hundred".