5847968206080 has 6912 divisors, whose sum is σ = 31567889203200. Its totient is φ = 1003290624000.

The previous prime is 5847968206057. The next prime is 5847968206097. The reversal of 5847968206080 is 806028697485.

5847968206080 is a `hidden beast` number, since 5 + 8 + 479 + 6 + 8 + 20 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a junction number, because it is equal to n+sod(n) for n = 5847968205999 and 5847968206017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 142633370860 + ... + 142633370900.

It is an arithmetic number, because the mean of its divisors is an integer number (4567113600).

Almost surely, 2^{5847968206080} 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 5847968206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783944601600).

5847968206080 is an abundant number, since it is smaller than the sum of its proper divisors (25719920997120).

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

5847968206080 is a wasteful number, since it uses less digits than its factorization.

5847968206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

It can be divided in two parts, 584796820 and 6080, that added together give a triangular number (584802900 = T₃₄₁₉₉).

The spelling of 5847968206080 in words is "five trillion, eight hundred forty-seven billion, nine hundred sixty-eight million, two hundred six thousand, eighty".