5766782860800 has 960 divisors, whose sum is σ = 23786637557760. Its totient is φ = 1357773373440.

The previous prime is 5766782860759. The next prime is 5766782860871. The reversal of 5766782860800 is 80682876675.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103306497 + ... + 103362303.

It is an arithmetic number, because the mean of its divisors is an integer number (24777747456).

Almost surely, 2^{5766782860800} is an apocalyptic number.

5766782860800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766782860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893318778880).

5766782860800 is an abundant number, since it is smaller than the sum of its proper divisors (18019854696960).

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

5766782860800 is a wasteful number, since it uses less digits than its factorization.

5766782860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55880 (or 55853 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 5766782860800 in words is "five trillion, seven hundred sixty-six billion, seven hundred eighty-two million, eight hundred sixty thousand, eight hundred".