566352843161600 has 2160 divisors, whose sum is σ = 1701144397790208. Its totient is φ = 186581581824000.

The previous prime is 566352843161551. The next prime is 566352843161603. The reversal of 566352843161600 is 6161348253665.

It is not an unprimeable number, because it can be changed into a prime (566352843161603) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 12050060492777 + ... + 12050060492823.

Almost surely, 2^{566352843161600} is an apocalyptic number.

566352843161600 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 566352843161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850572198895104).

566352843161600 is an abundant number, since it is smaller than the sum of its proper divisors (1134791554628608).

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

566352843161600 is an equidigital number, since it uses as much as digits as its factorization.

566352843161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 566352843161600 in words is "five hundred sixty-six trillion, three hundred fifty-two billion, eight hundred forty-three million, one hundred sixty-one thousand, six hundred".