5998581066240 has 2880 divisors, whose sum is σ = 27237487939200. Its totient is φ = 1244080373760.

The previous prime is 5998581066239. The next prime is 5998581066251. The reversal of 5998581066240 is 426601858995.

5998581066240 is a `hidden beast` number, since 5 + 9 + 9 + 8 + 581 + 0 + 6 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61841041872 + ... + 61841041968.

It is an arithmetic number, because the mean of its divisors is an integer number (9457461090).

Almost surely, 2^{5998581066240} 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 5998581066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618743969600).

5998581066240 is an abundant number, since it is smaller than the sum of its proper divisors (21238906872960).

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

5998581066240 is a wasteful number, since it uses less digits than its factorization.

5998581066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5998581066240 in words is "five trillion, nine hundred ninety-eight billion, five hundred eighty-one million, sixty-six thousand, two hundred forty".