566694484200000 has 2520 divisors, whose sum is σ = 2283636150041400. Its totient is φ = 138881433600000.

The previous prime is 566694484199983. The next prime is 566694484200001. The reversal of 566694484200000 is 2484496665.

It can be written as a sum of positive squares in 36 ways, for example, as 84718475781696 + 481976008418304 = 9204264^2 + 21953952^2 .

It is a super-2 number, since 2×566694484200000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 566694484200000.

It is not an unprimeable number, because it can be changed into a prime (566694484200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1229272199770 + ... + 1229272200230.

It is an arithmetic number, because the mean of its divisors is an integer number (906204821445).

Almost surely, 2^{566694484200000} is an apocalyptic number.

566694484200000 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 566694484200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141818075020700).

566694484200000 is an abundant number, since it is smaller than the sum of its proper divisors (1716941665841400).

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

566694484200000 is an equidigital number, since it uses as much as digits as its factorization.

566694484200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 566694484200000 in words is "five hundred sixty-six trillion, six hundred ninety-four billion, four hundred eighty-four million, two hundred thousand".