5978617764192 has 288 divisors, whose sum is σ = 17675360801280. Its totient is φ = 1914611973120.

The previous prime is 5978617764187. The next prime is 5978617764209. The reversal of 5978617764192 is 2914677168795.

5978617764192 is a `hidden beast` number, since 59 + 7 + 86 + 17 + 76 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5978617764192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238343017 + ... + 2238345687.

It is an arithmetic number, because the mean of its divisors is an integer number (61372780560).

Almost surely, 2^{5978617764192} 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 5978617764192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837680400640).

5978617764192 is an abundant number, since it is smaller than the sum of its proper divisors (11696743037088).

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

5978617764192 is a wasteful number, since it uses less digits than its factorization.

5978617764192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3935 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 5978617764192 in words is "five trillion, nine hundred seventy-eight billion, six hundred seventeen million, seven hundred sixty-four thousand, one hundred ninety-two".