5808073459968 has 216 divisors, whose sum is σ = 18088784837760. Its totient is φ = 1781697392640.

The previous prime is 5808073459957. The next prime is 5808073460027. The reversal of 5808073459968 is 8699543708085.

5808073459968 is a `hidden beast` number, since 5 + 8 + 0 + 80 + 7 + 3 + 459 + 96 + 8 = 666.

It is a super-2 number, since 2×5808073459968² (a number of 26 digits) contains 22 as substring.

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 = 5808073459896 and 5808073459905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9621193 + ... + 10207031.

Almost surely, 2^{5808073459968} 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 5808073459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044392418880).

5808073459968 is an abundant number, since it is smaller than the sum of its proper divisors (12280711377792).

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

5808073459968 is a wasteful number, since it uses less digits than its factorization.

5808073459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586205 (or 586188 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 5808073459968 in words is "five trillion, eight hundred eight billion, seventy-three million, four hundred fifty-nine thousand, nine hundred sixty-eight".