5984289600 has 336 divisors, whose sum is σ = 20488022016. Its totient is φ = 1527552000.

The previous prime is 5984289581. The next prime is 5984289611. The reversal of 5984289600 is 69824895.

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 47 ways as a sum of consecutive naturals, for example, 19492647 + ... + 19492953.

It is an arithmetic number, because the mean of its divisors is an integer number (60976256).

Almost surely, 2^5984289600 is an apocalyptic number.

5984289600 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 5984289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244011008).

5984289600 is an abundant number, since it is smaller than the sum of its proper divisors (14503732416).

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

5984289600 is a wasteful number, since it uses less digits than its factorization.

5984289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 5984289600 is about 77358.1902580457. The cubic root of 5984289600 is about 1815.5332237157.

The spelling of 5984289600 in words is "five billion, nine hundred eighty-four million, two hundred eighty-nine thousand, six hundred".