5838688800 has 864 divisors, whose sum is σ = 25192387584. Its totient is φ = 1244160000.

The previous prime is 5838688783. The next prime is 5838688829. The reversal of 5838688800 is 88868385.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57808750 + ... + 57808850.

It is an arithmetic number, because the mean of its divisors is an integer number (29157856).

Almost surely, 2^5838688800 is an apocalyptic number.

5838688800 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 5838688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596193792).

5838688800 is an abundant number, since it is smaller than the sum of its proper divisors (19353698784).

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

5838688800 is a wasteful number, since it uses less digits than its factorization.

5838688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 5838688800 is about 76411.3132984900. The cubic root of 5838688800 is about 1800.6878852335.

The spelling of 5838688800 in words is "five billion, eight hundred thirty-eight million, six hundred eighty-eight thousand, eight hundred".