20585472129 has 6 divisors (see below), whose sum is σ = 29734570866. Its totient is φ = 13723648080.

The previous prime is 20585472101. The next prime is 20585472139. The reversal of 20585472129 is 92127458502.

20585472129 is a `hidden beast` number, since 2 + 0 + 58 + 5 + 472 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19259055729 + 1326416400 = 138777^2 + 36420^2 .

It is not a de Polignac number, because 20585472129 - 2⁹ = 20585471617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20585472139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1143637332 + ... + 1143637349.

It is an arithmetic number, because the mean of its divisors is an integer number (4955761811).

Almost surely, 2^20585472129 is an apocalyptic number.

It is an amenable number.

20585472129 is a deficient number, since it is larger than the sum of its proper divisors (9149098737).

20585472129 is a wasteful number, since it uses less digits than its factorization.

20585472129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287274687 (or 2287274684 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20585472129 in words is "twenty billion, five hundred eighty-five million, four hundred seventy-two thousand, one hundred twenty-nine".