20075205969 has 135 divisors (see below), whose sum is σ = 37994531553. Its totient is φ = 10527910848.

The previous prime is 20075205967. The next prime is 20075205977. The reversal of 20075205969 is 96950257002.

The square root of 20075205969 is 141687.

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

20075205969 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 52 + 0 + 596 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160351569 + 19914854400 = 12663^2 + 141120^2 .

It is not a de Polignac number, because 20075205969 - 2¹ = 20075205967 is a prime.

It is a super-2 number, since 2×20075205969² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20075205961) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 116041567 + ... + 116041739.

Almost surely, 2^20075205969 is an apocalyptic number.

20075205969 is the 141687-th square number.

20075205969 is the 70844-th centered octagonal number.

It is an amenable number.

20075205969 is a deficient number, since it is larger than the sum of its proper divisors (17919325584).

20075205969 is an equidigital number, since it uses as much as digits as its factorization.

20075205969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 20075205969 in words is "twenty billion, seventy-five million, two hundred five thousand, nine hundred sixty-nine".