10967760921121 has 27 divisors (see below), whose sum is σ = 11584326452403. Its totient is φ = 10383562968960.

The previous prime is 10967760921119. The next prime is 10967760921133. The reversal of 10967760921121 is 12112906776901.

The square root of 10967760921121 is 3311761.

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

10967760921121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9767281320225 + 1200479600896 = 3125265^2 + 1095664^2 .

It is not a de Polignac number, because 10967760921121 - 2¹ = 10967760921119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10967760901121) 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, 4825234641 + ... + 4825236913.

Almost surely, 2^{10967760921121} is an apocalyptic number.

10967760921121 is the 3311761-st square number.

10967760921121 is the 1655881-st centered octagonal number.

It is an amenable number.

10967760921121 is a deficient number, since it is larger than the sum of its proper divisors (616565531282).

10967760921121 is an frugal number, since it uses more digits than its factorization.

10967760921121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 52.

The spelling of 10967760921121 in words is "ten trillion, nine hundred sixty-seven billion, seven hundred sixty million, nine hundred twenty-one thousand, one hundred twenty-one".