55800 has 72 divisors (see below), whose sum is σ = 193440. Its totient is φ = 14400.

The previous prime is 55799. The next prime is 55807. The reversal of 55800 is 855.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×55800³ = 521223336000000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1785 + ... + 1815.

2⁵⁵⁸⁰⁰ is an apocalyptic number.

55800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96720).

55800 is an abundant number, since it is smaller than the sum of its proper divisors (137640).

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

55800 is a wasteful number, since it uses less digits than its factorization.

55800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55800 is about 236.2202362204. The cubic root of 55800 is about 38.2130233457.

Subtracting from 55800 its reverse (855), we obtain a palindrome (54945).

The spelling of 55800 in words is "fifty-five thousand, eight hundred".