5989334400 has 480 divisors, whose sum is σ = 25267036080. Its totient is φ = 1368576000.

The previous prime is 5989334369. The next prime is 5989334401. The reversal of 5989334400 is 44339895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5989334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812750 + ... + 1816050.

Almost surely, 2^5989334400 is an apocalyptic number.

5989334400 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 5989334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633518040).

5989334400 is an abundant number, since it is smaller than the sum of its proper divisors (19277701680).

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

5989334400 is a wasteful number, since it uses less digits than its factorization.

5989334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5989334400 is about 77390.7901497329. The cubic root of 5989334400 is about 1816.0432496961.

The spelling of 5989334400 in words is "five billion, nine hundred eighty-nine million, three hundred thirty-four thousand, four hundred".