55563200 has 252 divisors, whose sum is σ = 175936656. Its totient is φ = 16896000.

The previous prime is 55563197. The next prime is 55563203. The reversal of 55563200 is 236555.

It is an interprime number because it is at equal distance from previous prime (55563197) and next prime (55563203).

It is a self number, because there is not a number n which added to its sum of digits gives 55563200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55563203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1355180 + ... + 1355220.

Almost surely, 2^55563200 is an apocalyptic number.

55563200 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 55563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87968328).

55563200 is an abundant number, since it is smaller than the sum of its proper divisors (120373456).

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

55563200 is a wasteful number, since it uses less digits than its factorization.

55563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 55563200 is about 7454.0727122829. The cubic root of 55563200 is about 381.5889147906.

Adding to 55563200 its reverse (236555), we get a palindrome (55799755).

The spelling of 55563200 in words is "fifty-five million, five hundred sixty-three thousand, two hundred".