566538017181696 has 4992 divisors, whose sum is σ = 2255371683102720. Its totient is φ = 138374989479936.

The previous prime is 566538017181637. The next prime is 566538017181713. The reversal of 566538017181696 is 696181710835665.

It is a happy number.

566538017181696 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 380 + 1 + 7 + 181 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5294747824075 + ... + 5294747824181.

It is an arithmetic number, because the mean of its divisors is an integer number (451797212160).

Almost surely, 2^{566538017181696} is an apocalyptic number.

566538017181696 is a gapful number since it is divisible by the number (56) 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 566538017181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127685841551360).

566538017181696 is an abundant number, since it is smaller than the sum of its proper divisors (1688833665921024).

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

566538017181696 is a wasteful number, since it uses less digits than its factorization.

566538017181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 566538017181696 in words is "five hundred sixty-six trillion, five hundred thirty-eight billion, seventeen million, one hundred eighty-one thousand, six hundred ninety-six".