5989084800 has 384 divisors, whose sum is σ = 20489760000. Its totient is φ = 1536737280.

The previous prime is 5989084771. The next prime is 5989084807. The reversal of 5989084800 is 84809895.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5989084807) 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, 40195126 + ... + 40195274.

It is an arithmetic number, because the mean of its divisors is an integer number (53358750).

Almost surely, 2^5989084800 is an apocalyptic number.

5989084800 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 5989084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880000).

5989084800 is an abundant number, since it is smaller than the sum of its proper divisors (14500675200).

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

5989084800 is a wasteful number, since it uses less digits than its factorization.

5989084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 5989084800 is about 77389.1775379478. The cubic root of 5989084800 is about 1816.0180220352.

The spelling of 5989084800 in words is "five billion, nine hundred eighty-nine million, eighty-four thousand, eight hundred".