5766066566400 has 1728 divisors, whose sum is σ = 23230033182720. Its totient is φ = 1231817932800.

The previous prime is 5766066566389. The next prime is 5766066566413. The reversal of 5766066566400 is 46656606675.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21276998265 + ... + 21276998535.

It is an arithmetic number, because the mean of its divisors is an integer number (13443306240).

Almost surely, 2^{5766066566400} is an apocalyptic number.

5766066566400 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 5766066566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615016591360).

5766066566400 is an abundant number, since it is smaller than the sum of its proper divisors (17463966616320).

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

5766066566400 is a wasteful number, since it uses less digits than its factorization.

5766066566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 5766066566400 in words is "five trillion, seven hundred sixty-six billion, sixty-six million, five hundred sixty-six thousand, four hundred".