5504668800 has 192 divisors, whose sum is σ = 18231080160. Its totient is φ = 1459814400.

The previous prime is 5504668781. The next prime is 5504668831. The reversal of 5504668800 is 88664055.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1851315 + ... + 1854285.

Almost surely, 2^5504668800 is an apocalyptic number.

5504668800 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 5504668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115540080).

5504668800 is an abundant number, since it is smaller than the sum of its proper divisors (12726411360).

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

5504668800 is a wasteful number, since it uses less digits than its factorization.

5504668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5504668800 is about 74193.4552369682. The cubic root of 5504668800 is about 1765.6734958043.

The spelling of 5504668800 in words is "five billion, five hundred four million, six hundred sixty-eight thousand, eight hundred".