10963117760 has 448 divisors, whose sum is σ = 33624170496. Its totient is φ = 3317760000.

The previous prime is 10963117757. The next prime is 10963117783. The reversal of 10963117760 is 6771136901.

It is a happy number.

10963117760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 43677635 + ... + 43677885.

It is an arithmetic number, because the mean of its divisors is an integer number (75053952).

Almost surely, 2^10963117760 is an apocalyptic number.

10963117760 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 10963117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812085248).

10963117760 is an abundant number, since it is smaller than the sum of its proper divisors (22661052736).

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

10963117760 is a wasteful number, since it uses less digits than its factorization.

10963117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The spelling of 10963117760 in words is "ten billion, nine hundred sixty-three million, one hundred seventeen thousand, seven hundred sixty".