566040541600 has 144 divisors (see below), whose sum is σ = 1391313200256. Its totient is φ = 224870400000.

The previous prime is 566040541589. The next prime is 566040541609. The reversal of 566040541600 is 6145040665.

It is a self number, because there is not a number n which added to its sum of digits gives 566040541600.

It is not an unprimeable number, because it can be changed into a prime (566040541609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73689760 + ... + 73697440.

It is an arithmetic number, because the mean of its divisors is an integer number (9661897224).

Almost surely, 2^566040541600 is an apocalyptic number.

566040541600 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 566040541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695656600128).

566040541600 is an abundant number, since it is smaller than the sum of its proper divisors (825272658656).

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

566040541600 is a wasteful number, since it uses less digits than its factorization.

566040541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 566040541600 in words is "five hundred sixty-six billion, forty million, five hundred forty-one thousand, six hundred".