5502556800 has 960 divisors, whose sum is σ = 23139768960. Its totient is φ = 1277337600.

The previous prime is 5502556757. The next prime is 5502556811. The reversal of 5502556800 is 86552055.

5502556800 is a `hidden beast` number, since 550 + 25 + 5 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77500765 + ... + 77500835.

It is an arithmetic number, because the mean of its divisors is an integer number (24103926).

Almost surely, 2^5502556800 is an apocalyptic number.

5502556800 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 5502556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569884480).

5502556800 is an abundant number, since it is smaller than the sum of its proper divisors (17637212160).

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

5502556800 is a wasteful number, since it uses less digits than its factorization.

5502556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 5502556800 is about 74179.2208101433. The cubic root of 5502556800 is about 1765.4476523987.

The spelling of 5502556800 in words is "five billion, five hundred two million, five hundred fifty-six thousand, eight hundred".