55566 has 40 divisors (see below), whose sum is σ = 145200. Its totient is φ = 15876.

The previous prime is 55547. The next prime is 55579. The reversal of 55566 is 66555.

55566 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

Its product of digits (4500) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 7 and base 9.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7935 + ... + 7941.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

2⁵⁵⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72600).

55566 is an abundant number, since it is smaller than the sum of its proper divisors (89634).

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

55566 is an equidigital number, since it uses as much as digits as its factorization.

55566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 55566 is about 235.7244153668. The cubic root of 55566 is about 38.1595324495.

Multiplying 55566 by its product of digits (4500), we get a cube (250047000 = 630³).

The spelling of 55566 in words is "fifty-five thousand, five hundred sixty-six".