5238361800 has 192 divisors, whose sum is σ = 20621001600. Its totient is φ = 1197331200.

The previous prime is 5238361721. The next prime is 5238361801. The reversal of 5238361800 is 81638325.

5238361800 is a `hidden beast` number, since 5 + 2 + 38 + 3 + 618 + 0 + 0 = 666.

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 (5238361801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31491 + ... + 107090.

It is an arithmetic number, because the mean of its divisors is an integer number (107401050).

Almost surely, 2^5238361800 is an apocalyptic number.

5238361800 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 5238361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310500800).

5238361800 is an abundant number, since it is smaller than the sum of its proper divisors (15382639800).

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

5238361800 is a wasteful number, since it uses less digits than its factorization.

5238361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138613 (or 138598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5238361800 is about 72376.5279631456. The cubic root of 5238361800 is about 1736.7280963007.

The spelling of 5238361800 in words is "five billion, two hundred thirty-eight million, three hundred sixty-one thousand, eight hundred".