20960345593009 has 9 divisors (see below), whose sum is σ = 21166296000363. Its totient is φ = 20756380110912.

The previous prime is 20960345592947. The next prime is 20960345593081. The reversal of 20960345593009 is 90039554306902.

It is a happy number.

The square root of 20960345593009 is 4578247.

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

It can be written as a sum of positive squares in only one way, i.e., 18051001330609 + 2909344262400 = 4248647^2 + 1705680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20960345593009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20960345594009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471537217 + ... + 471581665.

It is an arithmetic number, because the mean of its divisors is an integer number (2351810666707).

Almost surely, 2^{20960345593009} is an apocalyptic number.

20960345593009 is the 4578247-th square number.

20960345593009 is the 2289124-th centered octagonal number.

It is an amenable number.

20960345593009 is a deficient number, since it is larger than the sum of its proper divisors (205950407354).

20960345593009 is an frugal number, since it uses more digits than its factorization.

20960345593009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89104 (or 44552 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 55.

The spelling of 20960345593009 in words is "twenty trillion, nine hundred sixty billion, three hundred forty-five million, five hundred ninety-three thousand, nine".