5559688800 has 864 divisors, whose sum is σ = 22858536960. Its totient is φ = 1300147200.

The previous prime is 5559688787. The next prime is 5559688807. The reversal of 5559688800 is 88869555.

5559688800 is a `hidden beast` number, since 5 + 559 + 6 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5559688807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179344785 + ... + 179344815.

It is an arithmetic number, because the mean of its divisors is an integer number (26456640).

Almost surely, 2^5559688800 is an apocalyptic number.

5559688800 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 5559688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

5559688800 is an abundant number, since it is smaller than the sum of its proper divisors (17298848160).

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

5559688800 is a wasteful number, since it uses less digits than its factorization.

5559688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The square root of 5559688800 is about 74563.3207415013. The cubic root of 5559688800 is about 1771.5367291872.

The spelling of 5559688800 in words is "five billion, five hundred fifty-nine million, six hundred eighty-eight thousand, eight hundred".