20072487734289 has 27 divisors (see below), whose sum is σ = 29050764553083. Its totient is φ = 13355323679952.

The previous prime is 20072487734269. The next prime is 20072487734297. The reversal of 20072487734289 is 98243778427002.

It is a happy number.

The square root of 20072487734289 is 4480233.

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

20072487734289 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 2 + 487 + 73 + 4 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4670850276225 + 15401637458064 = 2161215^2 + 3924492^2 .

It is not a de Polignac number, because 20072487734289 - 2⁹ = 20072487733777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20072487734209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8776775304 + ... + 8776777590.

Almost surely, 2^{20072487734289} is an apocalyptic number.

20072487734289 is the 4480233-rd square number.

20072487734289 is the 2240117-th centered octagonal number.

It is an amenable number.

20072487734289 is a deficient number, since it is larger than the sum of its proper divisors (8978276818794).

20072487734289 is an frugal number, since it uses more digits than its factorization.

20072487734289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 20072487734289 in words is "twenty trillion, seventy-two billion, four hundred eighty-seven million, seven hundred thirty-four thousand, two hundred eighty-nine".