5999933399040 has 1120 divisors, whose sum is σ = 24926139469440. Its totient is φ = 1352244658176.

The previous prime is 5999933399021. The next prime is 5999933399071. The reversal of 5999933399040 is 409933399995.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5999933399040.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1695373591 + ... + 1695377129.

Almost surely, 2^{5999933399040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5999933399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463069734720).

5999933399040 is an abundant number, since it is smaller than the sum of its proper divisors (18926206070400).

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

5999933399040 is an equidigital number, since it uses as much as digits as its factorization.

5999933399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 286978140, while the sum is 72.

The spelling of 5999933399040 in words is "five trillion, nine hundred ninety-nine billion, nine hundred thirty-three million, three hundred ninety-nine thousand, forty".