566965521408 has 1056 divisors, whose sum is σ = 1966975073280. Its totient is φ = 142619443200.

The previous prime is 566965521373. The next prime is 566965521433. The reversal of 566965521408 is 804125569665.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7176778713 + ... + 7176778791.

Almost surely, 2^566965521408 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 566965521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983487536640).

566965521408 is an abundant number, since it is smaller than the sum of its proper divisors (1400009551872).

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

566965521408 is a wasteful number, since it uses less digits than its factorization.

566965521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 566965521408 in words is "five hundred sixty-six billion, nine hundred sixty-five million, five hundred twenty-one thousand, four hundred eight".