20888272796161 has 9 divisors (see below), whose sum is σ = 20946133133289. Its totient is φ = 20830571887536.

The previous prime is 20888272796147. The next prime is 20888272796173. The reversal of 20888272796161 is 16169727288802.

The square root of 20888272796161 is 4570369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20187010561 + 20868085785600 = 142081^2 + 4568160^2 .

It is not a de Polignac number, because 20888272796161 - 2⁵ = 20888272796129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20888272796191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1704741511 + ... + 1704753763.

It is an arithmetic number, because the mean of its divisors is an integer number (2327348125921).

Almost surely, 2^{20888272796161} is an apocalyptic number.

20888272796161 is the 4570369-th square number.

20888272796161 is the 2285185-th centered octagonal number.

It is an amenable number.

20888272796161 is a deficient number, since it is larger than the sum of its proper divisors (57860337128).

20888272796161 is an frugal number, since it uses more digits than its factorization.

20888272796161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 67.

The spelling of 20888272796161 in words is "twenty trillion, eight hundred eighty-eight billion, two hundred seventy-two million, seven hundred ninety-six thousand, one hundred sixty-one".