5233082400 has 864 divisors, whose sum is σ = 23317257600. Its totient is φ = 1097349120.

The previous prime is 5233082381. The next prime is 5233082411. The reversal of 5233082400 is 42803325.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32104719 + ... + 32104881.

Almost surely, 2^5233082400 is an apocalyptic number.

5233082400 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 5233082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658628800).

5233082400 is an abundant number, since it is smaller than the sum of its proper divisors (18084175200).

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

5233082400 is a wasteful number, since it uses less digits than its factorization.

5233082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5233082400 is about 72340.0470002612. The cubic root of 5233082400 is about 1736.1444555478.

Adding to 5233082400 its reverse (42803325), we get a palindrome (5275885725).

The spelling of 5233082400 in words is "five billion, two hundred thirty-three million, eighty-two thousand, four hundred".