5800769677056 has 144 divisors (see below), whose sum is σ = 15606252633888. Its totient is φ = 1912602624000.

The previous prime is 5800769677013. The next prime is 5800769677091. The reversal of 5800769677056 is 6507769670085.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141596416 + ... + 141637376.

It is an arithmetic number, because the mean of its divisors is an integer number (108376754402).

Almost surely, 2^{5800769677056} 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 5800769677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803126316944).

5800769677056 is an abundant number, since it is smaller than the sum of its proper divisors (9805482956832).

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

5800769677056 is a wasteful number, since it uses less digits than its factorization.

5800769677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42978 (or 42964 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 5800769677056 in words is "five trillion, eight hundred billion, seven hundred sixty-nine million, six hundred seventy-seven thousand, fifty-six".