10959140961 has 24 divisors (see below), whose sum is σ = 16225261416. Its totient is φ = 7123810560.

The previous prime is 10959140953. The next prime is 10959141007. The reversal of 10959140961 is 16904195901.

10959140961 is a `hidden beast` number, since 10 + 9 + 591 + 40 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 647957025 + 10311183936 = 25455^2 + 101544^2 .

It is not a de Polignac number, because 10959140961 - 2³ = 10959140953 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10959140161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720511 + ... + 735563.

It is an arithmetic number, because the mean of its divisors is an integer number (676052559).

Almost surely, 2^10959140961 is an apocalyptic number.

It is an amenable number.

10959140961 is a deficient number, since it is larger than the sum of its proper divisors (5266120455).

10959140961 is a wasteful number, since it uses less digits than its factorization.

10959140961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17073 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 10959140961 in words is "ten billion, nine hundred fifty-nine million, one hundred forty thousand, nine hundred sixty-one".