566324136051840 has 320 divisors, whose sum is σ = 2022886543079160. Its totient is φ = 150986854268928.

The previous prime is 566324136051787. The next prime is 566324136051841. The reversal of 566324136051840 is 48150631423665.

566324136051840 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 2 + 4 + 13 + 605 + 18 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402079816517184 + 164244319534656 = 20051928^2 + 12815784^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (566324136051841) 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 39 ways as a sum of consecutive naturals, for example, 237120264 + ... + 239496696.

Almost surely, 2^{566324136051840} 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 566324136051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011443271539580).

566324136051840 is an abundant number, since it is smaller than the sum of its proper divisors (1456562407027320).

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

566324136051840 is a wasteful number, since it uses less digits than its factorization.

566324136051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381061 (or 2381040 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 566324136051840 in words is "five hundred sixty-six trillion, three hundred twenty-four billion, one hundred thirty-six million, fifty-one thousand, eight hundred forty".