53523200 has 54 divisors (see below), whose sum is σ = 132494124. Its totient is φ = 21406720.

The previous prime is 53523193. The next prime is 53523203. The reversal of 53523200 is 232535.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (53523203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2219 + ... + 10581.

Almost surely, 2^53523200 is an apocalyptic number.

53523200 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 53523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66247062).

53523200 is an abundant number, since it is smaller than the sum of its proper divisors (78970924).

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

53523200 is an equidigital number, since it uses as much as digits as its factorization.

53523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 53523200 is about 7315.9551666204. The cubic root of 53523200 is about 376.8605609749.

Adding to 53523200 its reverse (232535), we get a palindrome (53755735).

The spelling of 53523200 in words is "fifty-three million, five hundred twenty-three thousand, two hundred".