55385200 has 60 divisors (see below), whose sum is σ = 143312008. Its totient is φ = 20448000.

The previous prime is 55385149. The next prime is 55385207. The reversal of 55385200 is 258355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55385207) 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, 126 + ... + 10525.

Almost surely, 2^55385200 is an apocalyptic number.

55385200 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 55385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71656004).

55385200 is an abundant number, since it is smaller than the sum of its proper divisors (87926808).

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

55385200 is a wasteful number, since it uses less digits than its factorization.

55385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 55385200 is about 7442.1233529148. The cubic root of 55385200 is about 381.1809979932.

The spelling of 55385200 in words is "fifty-five million, three hundred eighty-five thousand, two hundred".