10957091680 has 24 divisors (see below), whose sum is σ = 25886129472. Its totient is φ = 4382836608.

The previous prime is 10957091659. The next prime is 10957091683. The reversal of 10957091680 is 8619075901.

It is a happy number.

10957091680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10957091680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957091683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 34240752 + ... + 34241071.

It is an arithmetic number, because the mean of its divisors is an integer number (1078588728).

Almost surely, 2^10957091680 is an apocalyptic number.

10957091680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10957091680 is an abundant number, since it is smaller than the sum of its proper divisors (14929037792).

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

10957091680 is an equidigital number, since it uses as much as digits as its factorization.

10957091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68481838 (or 68481830 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10957091680 in words is "ten billion, nine hundred fifty-seven million, ninety-one thousand, six hundred eighty".