5359039807680 has 1680 divisors, whose sum is σ = 21970030817280. Its totient is φ = 1239879094272.

The previous prime is 5359039807663. The next prime is 5359039807757. The reversal of 5359039807680 is 867089309535.

5359039807680 is a `hidden beast` number, since 5 + 3 + 590 + 39 + 8 + 0 + 7 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42197163777 + ... + 42197163903.

It is an arithmetic number, because the mean of its divisors is an integer number (13077399296).

Almost surely, 2^{5359039807680} 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 5359039807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985015408640).

5359039807680 is an abundant number, since it is smaller than the sum of its proper divisors (16610991009600).

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

5359039807680 is an equidigital number, since it uses as much as digits as its factorization.

5359039807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5359039807680 in words is "five trillion, three hundred fifty-nine billion, thirty-nine million, eight hundred seven thousand, six hundred eighty".