5997132024000 has 1792 divisors, whose sum is σ = 23619505029120. Its totient is φ = 1326573158400.

The previous prime is 5997132023951. The next prime is 5997132024019. The reversal of 5997132024000 is 4202317995.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19534631847 + ... + 19534632153.

It is an arithmetic number, because the mean of its divisors is an integer number (13180527360).

Almost surely, 2^{5997132024000} is an apocalyptic number.

5997132024000 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 5997132024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809752514560).

5997132024000 is an abundant number, since it is smaller than the sum of its proper divisors (17622373005120).

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

5997132024000 is a wasteful number, since it uses less digits than its factorization.

5997132024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 5997132024000 in words is "five trillion, nine hundred ninety-seven billion, one hundred thirty-two million, twenty-four thousand".