53563200 has 84 divisors (see below), whose sum is σ = 175747680. Its totient is φ = 14282240.

The previous prime is 53563199. The next prime is 53563201. The reversal of 53563200 is 236535.

It is an interprime number because it is at equal distance from previous prime (53563199) and next prime (53563201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53563201) 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 11 ways as a sum of consecutive naturals, for example, 780 + ... + 10379.

Almost surely, 2^53563200 is an apocalyptic number.

53563200 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 53563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87873840).

53563200 is an abundant number, since it is smaller than the sum of its proper divisors (122184480).

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

53563200 is a wasteful number, since it uses less digits than its factorization.

53563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 53563200 is about 7318.6884070850. The cubic root of 53563200 is about 376.9544185218.

Adding to 53563200 its reverse (236535), we get a palindrome (53799735).

The spelling of 53563200 in words is "fifty-three million, five hundred sixty-three thousand, two hundred".