5238604800 has 1056 divisors, whose sum is σ = 23027276160. Its totient is φ = 1150156800.

The previous prime is 5238604783. The next prime is 5238604801. The reversal of 5238604800 is 84068325.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (5238604801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841574 + ... + 98841626.

Almost surely, 2^5238604800 is an apocalyptic number.

5238604800 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 5238604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513638080).

5238604800 is an abundant number, since it is smaller than the sum of its proper divisors (17788671360).

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

5238604800 is a wasteful number, since it uses less digits than its factorization.

5238604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5238604800 is about 72378.2066647137. The cubic root of 5238604800 is about 1736.7549506506.

The spelling of 5238604800 in words is "five billion, two hundred thirty-eight million, six hundred four thousand, eight hundred".