5505009120 has 288 divisors, whose sum is σ = 20308579200. Its totient is φ = 1349885952.

The previous prime is 5505009079. The next prime is 5505009121. The reversal of 5505009120 is 219005055.

5505009120 is a `hidden beast` number, since 5 + 50 + 500 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5505009120² = 60610250822566348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505009121) 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, 7656121 + ... + 7656839.

It is an arithmetic number, because the mean of its divisors is an integer number (70515900).

Almost surely, 2^5505009120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154289600).

5505009120 is an abundant number, since it is smaller than the sum of its proper divisors (14803570080).

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

5505009120 is a wasteful number, since it uses less digits than its factorization.

5505009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 5505009120 is about 74195.7486652706. The cubic root of 5505009120 is about 1765.7098819850.

The spelling of 5505009120 in words is "five billion, five hundred five million, nine thousand, one hundred twenty".