55350 has 48 divisors (see below), whose sum is σ = 156240. Its totient is φ = 14400.

The previous prime is 55343. The next prime is 55351. The reversal of 55350 is 5355.

55350 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55351) by changing a digit.

55350 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 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁵⁵³⁵⁰ is an apocalyptic number.

55350 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 55350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

55350 is an abundant number, since it is smaller than the sum of its proper divisors (100890).

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

55350 is a wasteful number, since it uses less digits than its factorization.

55350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 55350 is about 235.2658071204. The cubic root of 55350 is about 38.1100227832.

The spelling of 55350 in words is "fifty-five thousand, three hundred fifty".