55609200 has 240 divisors, whose sum is σ = 209113600. Its totient is φ = 13996800.

The previous prime is 55609189. The next prime is 55609201. The reversal of 55609200 is 290655.

55609200 is a `hidden beast` number, since 55 + 609 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55609201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205065 + ... + 205335.

Almost surely, 2^55609200 is an apocalyptic number.

55609200 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 55609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104556800).

55609200 is an abundant number, since it is smaller than the sum of its proper divisors (153504400).

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

55609200 is a wasteful number, since it uses less digits than its factorization.

55609200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55609200 is about 7457.1576354533. The cubic root of 55609200 is about 381.6941897947.

Adding to 55609200 its reverse (290655), we get a palindrome (55899855).

The spelling of 55609200 in words is "fifty-five million, six hundred nine thousand, two hundred".