5233636800 has 588 divisors, whose sum is σ = 22100932176. Its totient is φ = 1194393600.

The previous prime is 5233636789. The next prime is 5233636801. The reversal of 5233636800 is 86363325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233636801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8164480 + ... + 8165120.

Almost surely, 2^5233636800 is an apocalyptic number.

5233636800 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 5233636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050466088).

5233636800 is an abundant number, since it is smaller than the sum of its proper divisors (16867295376).

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

5233636800 is an equidigital number, since it uses as much as digits as its factorization.

5233636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5233636800 is about 72343.8788011812. The cubic root of 5233636800 is about 1736.2057632325.

The spelling of 5233636800 in words is "five billion, two hundred thirty-three million, six hundred thirty-six thousand, eight hundred".