5777528223168 has 280 divisors, whose sum is σ = 18492565432880. Its totient is φ = 1773002649600.

The previous prime is 5777528223121. The next prime is 5777528223209. The reversal of 5777528223168 is 8613228257775.

It is a happy number.

5777528223168 is a `hidden beast` number, since 5 + 7 + 77 + 528 + 2 + 2 + 31 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25428468 + ... + 25654668.

It is an arithmetic number, because the mean of its divisors is an integer number (66044876546).

Almost surely, 2^{5777528223168} 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 5777528223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246282716440).

5777528223168 is an abundant number, since it is smaller than the sum of its proper divisors (12715037209712).

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

5777528223168 is a wasteful number, since it uses less digits than its factorization.

5777528223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226617 (or 226598 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 5777528223168 in words is "five trillion, seven hundred seventy-seven billion, five hundred twenty-eight million, two hundred twenty-three thousand, one hundred sixty-eight".