10566721566 has 32 divisors (see below), whose sum is σ = 24239078400. Its totient is φ = 3408619320.

The previous prime is 10566721547. The next prime is 10566721567. The reversal of 10566721566 is 66512766501.

10566721566 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 67 + 21 + 566 = 666.

10566721566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10566721566³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10566721567) 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 15 ways as a sum of consecutive naturals, for example, 3154456 + ... + 3157803.

It is an arithmetic number, because the mean of its divisors is an integer number (757471200).

Almost surely, 2^10566721566 is an apocalyptic number.

10566721566 is an abundant number, since it is smaller than the sum of its proper divisors (13672356834).

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

10566721566 is a wasteful number, since it uses less digits than its factorization.

10566721566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312301 (or 6312295 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10566721566 in words is "ten billion, five hundred sixty-six million, seven hundred twenty-one thousand, five hundred sixty-six".