5984325600 has 288 divisors, whose sum is σ = 21339884160. Its totient is φ = 1444608000.

The previous prime is 5984325583. The next prime is 5984325617. The reversal of 5984325600 is 65234895.

It is an interprime number because it is at equal distance from previous prime (5984325583) and next prime (5984325617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11061330 + ... + 11061870.

It is an arithmetic number, because the mean of its divisors is an integer number (74096820).

Almost surely, 2^5984325600 is an apocalyptic number.

5984325600 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 5984325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669942080).

5984325600 is an abundant number, since it is smaller than the sum of its proper divisors (15355558560).

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

5984325600 is a wasteful number, since it uses less digits than its factorization.

5984325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5984325600 is about 77358.4229415259. The cubic root of 5984325600 is about 1815.5368643074.

The spelling of 5984325600 in words is "five billion, nine hundred eighty-four million, three hundred twenty-five thousand, six hundred".