5998824000 has 1008 divisors, whose sum is σ = 25451683920. Its totient is φ = 1341849600.

The previous prime is 5998823989. The next prime is 5998824019. The reversal of 5998824000 is 4288995.

It can be written as a sum of positive squares in 24 ways, for example, as 5983331904 + 15492096 = 77352^2 + 3936^2 .

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 143 ways as a sum of consecutive naturals, for example, 206855986 + ... + 206856014.

Almost surely, 2^5998824000 is an apocalyptic number.

5998824000 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 5998824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725841960).

5998824000 is an abundant number, since it is smaller than the sum of its proper divisors (19452859920).

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

5998824000 is a wasteful number, since it uses less digits than its factorization.

5998824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5998824000 is about 77452.0755047920. The cubic root of 5998824000 is about 1817.0018665296.

The spelling of 5998824000 in words is "five billion, nine hundred ninety-eight million, eight hundred twenty-four thousand".