566865768268800 has 12672 divisors, whose sum is σ = 3082233810124800. Its totient is φ = 98752462848000.

The previous prime is 566865768268753. The next prime is 566865768268841. The reversal of 566865768268800 is 8862867568665.

It is a tau number, because it is divible by the number of its divisors (12672).

It is a self number, because there is not a number n which added to its sum of digits gives 566865768268800.

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 1151 ways as a sum of consecutive naturals, for example, 5297810918347 + ... + 5297810918453.

Almost surely, 2^{566865768268800} is an apocalyptic number.

566865768268800 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 566865768268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541116905062400).

566865768268800 is an abundant number, since it is smaller than the sum of its proper divisors (2515368041856000).

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

566865768268800 is a wasteful number, since it uses less digits than its factorization.

566865768268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 566865768268800 in words is "five hundred sixty-six trillion, eight hundred sixty-five billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, eight hundred".