5984409600 has 864 divisors, whose sum is σ = 24582645360. Its totient is φ = 1433272320.

The previous prime is 5984409593. The next prime is 5984409623. The reversal of 5984409600 is 69044895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161740782 + ... + 161740818.

Almost surely, 2^5984409600 is an apocalyptic number.

5984409600 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 5984409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291322680).

5984409600 is an abundant number, since it is smaller than the sum of its proper divisors (18598235760).

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

5984409600 is a wasteful number, since it uses less digits than its factorization.

5984409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5984409600 is about 77358.9658669246. The cubic root of 5984409600 is about 1815.5453589646.

The spelling of 5984409600 in words is "five billion, nine hundred eighty-four million, four hundred nine thousand, six hundred".