5978173128048 has 720 divisors, whose sum is σ = 19479102945120. Its totient is φ = 1708201820160.

The previous prime is 5978173128013. The next prime is 5978173128049. The reversal of 5978173128048 is 8408213718795.

5978173128048 is a `hidden beast` number, since 597 + 8 + 1 + 7 + 31 + 2 + 8 + 0 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978173128049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2776670140 + ... + 2776672292.

It is an arithmetic number, because the mean of its divisors is an integer number (27054309646).

Almost surely, 2^{5978173128048} 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 5978173128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739551472560).

5978173128048 is an abundant number, since it is smaller than the sum of its proper divisors (13500929817072).

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

5978173128048 is a wasteful number, since it uses less digits than its factorization.

5978173128048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 5978173128048 in words is "five trillion, nine hundred seventy-eight billion, one hundred seventy-three million, one hundred twenty-eight thousand, forty-eight".