10066777569 has 18 divisors (see below), whose sum is σ = 15059612646. Its totient is φ = 6479760000.

The previous prime is 10066777559. The next prime is 10066777571. The reversal of 10066777569 is 96577766001.

It is a happy number.

10066777569 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 7 + 77 + 569 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1839380544 + 8227397025 = 42888^2 + 90705^2 .

It is not a de Polignac number, because 10066777569 - 2¹⁷ = 10066646497 is a prime.

It is a super-3 number, since 3×10066777569³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10066777559) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 657432 + ... + 672569.

It is an arithmetic number, because the mean of its divisors is an integer number (836645147).

Almost surely, 2^10066777569 is an apocalyptic number.

It is an amenable number.

10066777569 is a deficient number, since it is larger than the sum of its proper divisors (4992835077).

10066777569 is a wasteful number, since it uses less digits than its factorization.

10066777569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330065 (or 1330033 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 10066777569 in words is "ten billion, sixty-six million, seven hundred seventy-seven thousand, five hundred sixty-nine".