5978808413760 has 2688 divisors, whose sum is σ = 25986838348800. Its totient is φ = 1156459659264.

The previous prime is 5978808413717. The next prime is 5978808413789. The reversal of 5978808413760 is 673148088795.

It is a junction number, because it is equal to n+sod(n) for n = 5978808413691 and 5978808413700.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81901485084 + ... + 81901485156.

It is an arithmetic number, because the mean of its divisors is an integer number (9667722600).

Almost surely, 2^{5978808413760} 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 5978808413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993419174400).

5978808413760 is an abundant number, since it is smaller than the sum of its proper divisors (20008029935040).

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

5978808413760 is a wasteful number, since it uses less digits than its factorization.

5978808413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 5978808413760 in words is "five trillion, nine hundred seventy-eight billion, eight hundred eight million, four hundred thirteen thousand, seven hundred sixty".