55307200 has 84 divisors (see below), whose sum is σ = 146613880. Its totient is φ = 20413440.

The previous prime is 55307183. The next prime is 55307201. The reversal of 55307200 is 270355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55307201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19471 + ... + 22129.

Almost surely, 2^55307200 is an apocalyptic number.

55307200 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 55307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73306940).

55307200 is an abundant number, since it is smaller than the sum of its proper divisors (91306680).

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

55307200 is a wasteful number, since it uses less digits than its factorization.

55307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 55307200 is about 7436.8810666838. The cubic root of 55307200 is about 381.0019725123.

Adding to 55307200 its reverse (270355), we get a palindrome (55577555).

The spelling of 55307200 in words is "fifty-five million, three hundred seven thousand, two hundred".