5565628800 has 384 divisors, whose sum is σ = 20931175200. Its totient is φ = 1443225600.

The previous prime is 5565628799. The next prime is 5565628807. The reversal of 5565628800 is 88265655.

5565628800 is a `hidden beast` number, since 5 + 5 + 6 + 562 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565628807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195930 + ... + 3197670.

Almost surely, 2^5565628800 is an apocalyptic number.

5565628800 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 5565628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465587600).

5565628800 is an abundant number, since it is smaller than the sum of its proper divisors (15365546400).

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

5565628800 is a wasteful number, since it uses less digits than its factorization.

5565628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5565628800 is about 74603.1420249844. The cubic root of 5565628800 is about 1772.1674109387.

The spelling of 5565628800 in words is "five billion, five hundred sixty-five million, six hundred twenty-eight thousand, eight hundred".