5509036800 has 270 divisors, whose sum is σ = 20371335908. Its totient is φ = 1468938240.

The previous prime is 5509036789. The next prime is 5509036801. The reversal of 5509036800 is 86309055.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is not an unprimeable number, because it can be changed into a prime (5509036801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 513087 + ... + 523713.

Almost surely, 2^5509036800 is an apocalyptic number.

5509036800 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 5509036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185667954).

5509036800 is an abundant number, since it is smaller than the sum of its proper divisors (14862299108).

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

5509036800 is a wasteful number, since it uses less digits than its factorization.

5509036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5509036800 is about 74222.8859584428. The cubic root of 5509036800 is about 1766.1403978130.

The spelling of 5509036800 in words is "five billion, five hundred nine million, thirty-six thousand, eight hundred".