55321200 has 270 divisors, whose sum is σ = 212680832. Its totient is φ = 13305600.

The previous prime is 55321199. The next prime is 55321207. The reversal of 55321200 is 212355.

It is a happy number.

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 (55321207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435537 + ... + 435663.

Almost surely, 2^55321200 is an apocalyptic number.

55321200 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 55321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340416).

55321200 is an abundant number, since it is smaller than the sum of its proper divisors (157359632).

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

55321200 is a wasteful number, since it uses less digits than its factorization.

55321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55321200 is about 7437.8222619259. The cubic root of 55321200 is about 381.0341176797.

Adding to 55321200 its reverse (212355), we get a palindrome (55533555).

The spelling of 55321200 in words is "fifty-five million, three hundred twenty-one thousand, two hundred".