55353600 has 243 divisors, whose sum is σ = 204491469. Its totient is φ = 14284800.

The previous prime is 55353583. The next prime is 55353607. The reversal of 55353600 is 635355.

It is a happy number.

The square root of 55353600 is 7440.

It is a perfect power (a square), and thus also a powerful number.

55353600 is a `hidden beast` number, since 5 + 5 + 3 + 53 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 35426304 = 4464^2 + 5952^2 .

It is not an unprimeable number, because it can be changed into a prime (55353607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1785585 + ... + 1785615.

Almost surely, 2^55353600 is an apocalyptic number.

55353600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55353600 is the 7440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55353600

55353600 is an abundant number, since it is smaller than the sum of its proper divisors (149137869).

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

55353600 is a wasteful number, since it uses less digits than its factorization.

55353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The cubic root of 55353600 is about 381.1084899882.

Adding to 55353600 its reverse (635355), we get a palindrome (55988955).

The spelling of 55353600 in words is "fifty-five million, three hundred fifty-three thousand, six hundred".