42800575689 has 45 divisors (see below), whose sum is σ = 64802076471. Its totient is φ = 28152638640.

The previous prime is 42800575687. The next prime is 42800575711. The reversal of 42800575689 is 98657500824.

The square root of 42800575689 is 206883.

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

42800575689 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 0 + 575 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 471628089 + 42328947600 = 21717^2 + 205740^2 .

It is not a de Polignac number, because 42800575689 - 2¹ = 42800575687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42800575687) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 236467179 + ... + 236467359.

Almost surely, 2^42800575689 is an apocalyptic number.

42800575689 is the 206883-rd square number.

42800575689 is the 103442-nd centered octagonal number.

It is an amenable number.

42800575689 is a deficient number, since it is larger than the sum of its proper divisors (22001500782).

42800575689 is an frugal number, since it uses more digits than its factorization.

42800575689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42800575689 in words is "forty-two billion, eight hundred million, five hundred seventy-five thousand, six hundred eighty-nine".