10966269120 has 224 divisors, whose sum is σ = 35332416000. Its totient is φ = 2881511424.

The previous prime is 10966269091. The next prime is 10966269133. The reversal of 10966269120 is 2196266901.

It is a happy number.

10966269120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26172271 + ... + 26172689.

It is an arithmetic number, because the mean of its divisors is an integer number (157734000).

Almost surely, 2^10966269120 is an apocalyptic number.

10966269120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10966269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666208000).

10966269120 is an abundant number, since it is smaller than the sum of its proper divisors (24366146880).

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

10966269120 is a wasteful number, since it uses less digits than its factorization.

10966269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10966269120 in words is "ten billion, nine hundred sixty-six million, two hundred sixty-nine thousand, one hundred twenty".