5777313208896 has 224 divisors, whose sum is σ = 15651735349248. Its totient is φ = 1880264888320.

The previous prime is 5777313208859. The next prime is 5777313208949. The reversal of 5777313208896 is 6988023137775.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827336221 + ... + 827343203.

Almost surely, 2^{5777313208896} 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 5777313208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825867674624).

5777313208896 is an abundant number, since it is smaller than the sum of its proper divisors (9874422140352).

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

5777313208896 is a wasteful number, since it uses less digits than its factorization.

5777313208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 5777313208896 in words is "five trillion, seven hundred seventy-seven billion, three hundred thirteen million, two hundred eight thousand, eight hundred ninety-six".