55056 has 40 divisors (see below), whose sum is σ = 150784. Its totient is φ = 17280.

The previous prime is 55051. The next prime is 55057. The reversal of 55056 is 65055.

55056 = T₃₅ + T₃₆ + ... + T₇₁.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 1506.

2⁵⁵⁰⁵⁶ 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 55056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75392).

55056 is an abundant number, since it is smaller than the sum of its proper divisors (95728).

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

55056 is a wasteful number, since it uses less digits than its factorization.

55056 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55056 is about 234.6401500170. The cubic root of 55056 is about 38.0424272197.

Subtracting 55056 from its reverse (65055), we obtain a palindrome (9999).

It can be divided in two parts, 550 and 56, that added together give a palindrome (606).

The spelling of 55056 in words is "fifty-five thousand, fifty-six".