5839507984968 has 768 divisors, whose sum is σ = 19864196352000. Its totient is φ = 1512006746112.

The previous prime is 5839507984913. The next prime is 5839507985011. The reversal of 5839507984968 is 8694897059385.

5839507984968 is a `hidden beast` number, since 5 + 8 + 3 + 9 + 50 + 79 + 8 + 496 + 8 = 666.

It is a super-2 number, since 2×5839507984968² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7593638088 + ... + 7593638856.

It is an arithmetic number, because the mean of its divisors is an integer number (25864839000).

Almost surely, 2^{5839507984968} 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 5839507984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9932098176000).

5839507984968 is an abundant number, since it is smaller than the sum of its proper divisors (14024688367032).

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

5839507984968 is a wasteful number, since it uses less digits than its factorization.

5839507984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 5839507984968 in words is "five trillion, eight hundred thirty-nine billion, five hundred seven million, nine hundred eighty-four thousand, nine hundred sixty-eight".