5233254400 has 336 divisors, whose sum is σ = 14919277248. Its totient is φ = 1802240000.

The previous prime is 5233254353. The next prime is 5233254407. The reversal of 5233254400 is 44523325.

It is not an unprimeable number, because it can be changed into a prime (5233254407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51814350 + ... + 51814450.

Almost surely, 2^5233254400 is an apocalyptic number.

5233254400 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 5233254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459638624).

5233254400 is an abundant number, since it is smaller than the sum of its proper divisors (9686022848).

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

5233254400 is a wasteful number, since it uses less digits than its factorization.

5233254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 5233254400 is about 72341.2358202429. The cubic root of 5233254400 is about 1736.1634764327.

Adding to 5233254400 its reverse (44523325), we get a palindrome (5277777725).

It can be divided in two parts, 523325 and 4400, that added together give a palindrome (527725).

The spelling of 5233254400 in words is "five billion, two hundred thirty-three million, two hundred fifty-four thousand, four hundred".