19700042571729 has 81 divisors (see below), whose sum is σ = 31260815387217. Its totient is φ = 11949363533952.

The previous prime is 19700042571721. The next prime is 19700042571743. The reversal of 19700042571729 is 92717524000791.

The square root of 19700042571729 is 4438473.

It is a perfect power (a square), and thus also a powerful number.

19700042571729 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 0 + 0 + 42 + 571 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1981836081729 + 17718206490000 = 1407777^2 + 4209300^2 .

It is not a de Polignac number, because 19700042571729 - 2³ = 19700042571721 is a prime.

It is a super-2 number, since 2×19700042571729² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19700042571721) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12636331852 + ... + 12636333410.

Almost surely, 2^{19700042571729} is an apocalyptic number.

19700042571729 is the 4438473-rd square number.

19700042571729 is the 2219237-th centered octagonal number.

It is an amenable number.

19700042571729 is a deficient number, since it is larger than the sum of its proper divisors (11560772815488).

19700042571729 is an frugal number, since it uses more digits than its factorization.

19700042571729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 19700042571729 in words is "nineteen trillion, seven hundred billion, forty-two million, five hundred seventy-one thousand, seven hundred twenty-nine".