5986882352880 has 1280 divisors, whose sum is σ = 25015698892800. Its totient is φ = 1296660234240.

The previous prime is 5986882352851. The next prime is 5986882352881. The reversal of 5986882352880 is 882532886895.

5986882352880 is a `hidden beast` number, since 5 + 98 + 6 + 8 + 8 + 2 + 3 + 528 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5986882352799 and 5986882352808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5986882352881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1500845926 + ... + 1500849914.

It is an arithmetic number, because the mean of its divisors is an integer number (19543514760).

Almost surely, 2^{5986882352880} 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 5986882352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507849446400).

5986882352880 is an abundant number, since it is smaller than the sum of its proper divisors (19028816539920).

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

5986882352880 is a wasteful number, since it uses less digits than its factorization.

5986882352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 5986882352880 in words is "five trillion, nine hundred eighty-six billion, eight hundred eighty-two million, three hundred fifty-two thousand, eight hundred eighty".