10965232960 has 84 divisors (see below), whose sum is σ = 28700579124. Its totient is φ = 3987343360.

The previous prime is 10965232907. The next prime is 10965232969. The reversal of 10965232960 is 6923256901.

It can be written as a sum of positive squares in 2 ways, for example, as 8554030144 + 2411202816 = 92488^2 + 49104^2 .

It is a super-4 number, since 4×10965232960⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10965232969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102877 + ... + 180316.

It is an arithmetic number, because the mean of its divisors is an integer number (341673561).

Almost surely, 2^10965232960 is an apocalyptic number.

10965232960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10965232960 is an abundant number, since it is smaller than the sum of its proper divisors (17735346164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10965232960 is a wasteful number, since it uses less digits than its factorization.

10965232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283232 (or 283211 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 10965232960 in words is "ten billion, nine hundred sixty-five million, two hundred thirty-two thousand, nine hundred sixty".