55950 has 24 divisors (see below), whose sum is σ = 139128. Its totient is φ = 14880.

The previous prime is 55949. The next prime is 55967. The reversal of 55950 is 5955.

It is a self number, because there is not a number n which added to its sum of digits gives 55950.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55950.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5797).

2⁵⁵⁹⁵⁰ is an apocalyptic number.

55950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69564).

55950 is an abundant number, since it is smaller than the sum of its proper divisors (83178).

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

55950 is a wasteful number, since it uses less digits than its factorization.

55950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 55950 is about 236.5375234503. The cubic root of 55950 is about 38.2472337698.

Adding to 55950 its product of nonzero digits (1125), we get a palindrome (57075).

The spelling of 55950 in words is "fifty-five thousand, nine hundred fifty".