5991669845280 has 288 divisors, whose sum is σ = 23385253627008. Its totient is φ = 1368484761600.

The previous prime is 5991669845257. The next prime is 5991669845281. The reversal of 5991669845280 is 825489661995.

5991669845280 is a `hidden beast` number, since 5 + 9 + 9 + 1 + 6 + 6 + 98 + 4 + 528 + 0 = 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 a junction number, because it is equal to n+sod(n) for n = 5991669845199 and 5991669845208.

It is not an unprimeable number, because it can be changed into a prime (5991669845281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13090695 + ... + 13540665.

It is an arithmetic number, because the mean of its divisors is an integer number (81198797316).

Almost surely, 2^{5991669845280} 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 5991669845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692626813504).

5991669845280 is an abundant number, since it is smaller than the sum of its proper divisors (17393583781728).

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

5991669845280 is a wasteful number, since it uses less digits than its factorization.

5991669845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451320 (or 451309 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 5991669845280 in words is "five trillion, nine hundred ninety-one billion, six hundred sixty-nine million, eight hundred forty-five thousand, two hundred eighty".