55188 has 48 divisors (see below), whose sum is σ = 165760. Its totient is φ = 15552.

The previous prime is 55171. The next prime is 55201. The reversal of 55188 is 88155.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

55188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720 + ... + 792.

2⁵⁵¹⁸⁸ 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 55188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82880).

55188 is an abundant number, since it is smaller than the sum of its proper divisors (110572).

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

55188 is a wasteful number, since it uses less digits than its factorization.

55188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 55188 is about 234.9212634054. The cubic root of 55188 is about 38.0728059404.

It can be divided in two parts, 5518 and 8, that multiplied together give a palindrome (44144).

The spelling of 55188 in words is "fifty-five thousand, one hundred eighty-eight".