55120 has 40 divisors (see below), whose sum is σ = 140616. Its totient is φ = 19968.

The previous prime is 55117. The next prime is 55127. The reversal of 55120 is 2155.

55120 = T₄₅ + T₄₆ + ... + T₇₄.

55120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 51984 = 56^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1066.

2⁵⁵¹²⁰ 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 55120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308).

55120 is an abundant number, since it is smaller than the sum of its proper divisors (85496).

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

55120 is a wasteful number, since it uses less digits than its factorization.

55120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 55120 is about 234.7764894533. The cubic root of 55120 is about 38.0571623532.

Adding to 55120 its reverse (2155), we get a palindrome (57275).

It can be divided in two parts, 5 and 5120, that multiplied together give a square (25600 = 160²).

The spelling of 55120 in words is "fifty-five thousand, one hundred twenty".