5798968425600 has 1152 divisors, whose sum is σ = 23009047326720. Its totient is φ = 1278614937600.

The previous prime is 5798968425541. The next prime is 5798968425611. The reversal of 5798968425600 is 65248698975.

It is a super-2 number, since 2×5798968425600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7976572437 + ... + 7976573163.

It is an arithmetic number, because the mean of its divisors is an integer number (19973131360).

Almost surely, 2^{5798968425600} is an apocalyptic number.

5798968425600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5798968425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504523663360).

5798968425600 is an abundant number, since it is smaller than the sum of its proper divisors (17210078901120).

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

5798968425600 is a wasteful number, since it uses less digits than its factorization.

5798968425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 5798968425600 in words is "five trillion, seven hundred ninety-eight billion, nine hundred sixty-eight million, four hundred twenty-five thousand, six hundred".