55305200 has 90 divisors (see below), whose sum is σ = 140598144. Its totient is φ = 20903040.

The previous prime is 55305193. The next prime is 55305203. The reversal of 55305200 is 250355.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55305203) 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, 144209 + ... + 144591.

Almost surely, 2^55305200 is an apocalyptic number.

55305200 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 55305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70299072).

55305200 is an abundant number, since it is smaller than the sum of its proper divisors (85292944).

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

55305200 is a wasteful number, since it uses less digits than its factorization.

55305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 55305200 is about 7436.7466004968. The cubic root of 55305200 is about 380.9973799027.

Adding to 55305200 its reverse (250355), we get a palindrome (55555555).

The spelling of 55305200 in words is "fifty-five million, three hundred five thousand, two hundred".