55005120 has 168 divisors, whose sum is σ = 192572640. Its totient is φ = 14407680.

The previous prime is 55005109. The next prime is 55005131. The reversal of 55005120 is 2150055.

55005120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55005109) and next prime (55005131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55005093 and 55005102.

It is a congruent number.

It is an unprimeable number.

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, 204346 + ... + 204614.

Almost surely, 2^55005120 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 55005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96286320).

55005120 is an abundant number, since it is smaller than the sum of its proper divisors (137567520).

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

55005120 is a wasteful number, since it uses less digits than its factorization.

55005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 55005120 is about 7416.5436693921. The cubic root of 55005120 is about 380.3070463867.

Adding to 55005120 its reverse (2150055), we get a palindrome (57155175).

The spelling of 55005120 in words is "fifty-five million, five thousand, one hundred twenty".