5234912800 has 144 divisors (see below), whose sum is σ = 14099613192. Its totient is φ = 1885593600.

The previous prime is 5234912783. The next prime is 5234912803. The reversal of 5234912800 is 82194325.

It can be written as a sum of positive squares in 12 ways, for example, as 1081883664 + 4153029136 = 32892^2 + 64444^2 .

It is not an unprimeable number, because it can be changed into a prime (5234912803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420262 + ... + 432538.

Almost surely, 2^5234912800 is an apocalyptic number.

5234912800 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 5234912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049806596).

5234912800 is an abundant number, since it is smaller than the sum of its proper divisors (8864700392).

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

5234912800 is a wasteful number, since it uses less digits than its factorization.

5234912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5234912800 is about 72352.6972544908. The cubic root of 5234912800 is about 1736.3468517731.

The spelling of 5234912800 in words is "five billion, two hundred thirty-four million, nine hundred twelve thousand, eight hundred".