5981859072000 has 2688 divisors, whose sum is σ = 27035475667200. Its totient is φ = 1289945088000.

The previous prime is 5981859071963. The next prime is 5981859072023. The reversal of 5981859072000 is 2709581895.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24820991880 + ... + 24820992120.

It is an arithmetic number, because the mean of its divisors is an integer number (10057840650).

Almost surely, 2^{5981859072000} is an apocalyptic number.

5981859072000 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 5981859072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517737833600).

5981859072000 is an abundant number, since it is smaller than the sum of its proper divisors (21053616595200).

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

5981859072000 is an equidigital number, since it uses as much as digits as its factorization.

5981859072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 5981859072000 in words is "five trillion, nine hundred eighty-one billion, eight hundred fifty-nine million, seventy-two thousand".