5336588800 has 120 divisors (see below), whose sum is σ = 13797438336. Its totient is φ = 2041712640.

The previous prime is 5336588797. The next prime is 5336588801. The reversal of 5336588800 is 88856335.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (5336588801) 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 11 ways as a sum of consecutive naturals, for example, 285337 + ... + 303463.

Almost surely, 2^5336588800 is an apocalyptic number.

5336588800 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 5336588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898719168).

5336588800 is an abundant number, since it is smaller than the sum of its proper divisors (8460849536).

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

5336588800 is a wasteful number, since it uses less digits than its factorization.

5336588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18178 (or 18157 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 5336588800 is about 73051.9595904176. The cubic root of 5336588800 is about 1747.5163461774.

The spelling of 5336588800 in words is "five billion, three hundred thirty-six million, five hundred eighty-eight thousand, eight hundred".