20972688960128 has 32 divisors (see below), whose sum is σ = 41781852995520. Its totient is φ = 10486263110400.

The previous prime is 20972688960127. The next prime is 20972688960203. The reversal of 20972688960128 is 82106988627902.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20972688960127) 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 3 ways as a sum of consecutive naturals, for example, 18065033 + ... + 19190903.

It is an arithmetic number, because the mean of its divisors is an integer number (1305682906110).

Almost surely, 2^{20972688960128} is an apocalyptic number.

It is an amenable number.

20972688960128 is a deficient number, since it is larger than the sum of its proper divisors (20809164035392).

20972688960128 is a wasteful number, since it uses less digits than its factorization.

20972688960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271416 (or 1271404 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 68.

The spelling of 20972688960128 in words is "twenty trillion, nine hundred seventy-two billion, six hundred eighty-eight million, nine hundred sixty thousand, one hundred twenty-eight".