55505120 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 19430400.

The previous prime is 55505081. The next prime is 55505123. The reversal of 55505120 is 2150555.

55505120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55505123) 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 23 ways as a sum of consecutive naturals, for example, 909890 + ... + 909950.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^55505120 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 55505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

55505120 is an abundant number, since it is smaller than the sum of its proper divisors (94110304).

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

55505120 is a wasteful number, since it uses less digits than its factorization.

55505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 23.

The square root of 55505120 is about 7450.1758368511. The cubic root of 55505120 is about 381.4559106269.

Adding to 55505120 its reverse (2150555), we get a palindrome (57655675).

The spelling of 55505120 in words is "fifty-five million, five hundred five thousand, one hundred twenty".