5982864408576 has 288 divisors, whose sum is σ = 19338603681600. Its totient is φ = 1812977418240.

The previous prime is 5982864408541. The next prime is 5982864408613. The reversal of 5982864408576 is 6758044682895.

5982864408576 is a `hidden beast` number, since 5 + 9 + 8 + 2 + 8 + 6 + 4 + 40 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38851540 + ... + 39005228.

It is an arithmetic number, because the mean of its divisors is an integer number (67147929450).

Almost surely, 2^{5982864408576} 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 5982864408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669301840800).

5982864408576 is an abundant number, since it is smaller than the sum of its proper divisors (13355739273024).

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

5982864408576 is an equidigital number, since it uses as much as digits as its factorization.

5982864408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153743 (or 153705 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 5982864408576 in words is "five trillion, nine hundred eighty-two billion, eight hundred sixty-four million, four hundred eight thousand, five hundred seventy-six".