55321600 has 66 divisors (see below), whose sum is σ = 137194034. Its totient is φ = 22118400.

The previous prime is 55321579. The next prime is 55321627. The reversal of 55321600 is 612355.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 50013184 = 2304^2 + 7072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24520 + ... + 26680.

Almost surely, 2^55321600 is an apocalyptic number.

55321600 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 55321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68597017).

55321600 is an abundant number, since it is smaller than the sum of its proper divisors (81872434).

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

55321600 is a wasteful number, since it uses less digits than its factorization.

55321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 55321600 is about 7437.8491514685. The cubic root of 55321600 is about 381.0350360333.

Adding to 55321600 its reverse (612355), we get a palindrome (55933955).

The spelling of 55321600 in words is "fifty-five million, three hundred twenty-one thousand, six hundred".