5978662010880 has 1024 divisors, whose sum is σ = 22773011950080. Its totient is φ = 1324326322176.

The previous prime is 5978662010851. The next prime is 5978662010887. The reversal of 5978662010880 is 880102668795.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5978662010887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498394964 + ... + 2498397356.

Almost surely, 2^{5978662010880} 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 5978662010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386505975040).

5978662010880 is an abundant number, since it is smaller than the sum of its proper divisors (16794349939200).

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

5978662010880 is a wasteful number, since it uses less digits than its factorization.

5978662010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 5978662010880 in words is "five trillion, nine hundred seventy-eight billion, six hundred sixty-two million, ten thousand, eight hundred eighty".