10963853840160 has 576 divisors, whose sum is σ = 41402423462400. Its totient is φ = 2624956637184.

The previous prime is 10963853840129. The next prime is 10963853840189. The reversal of 10963853840160 is 6104835836901.

10963853840160 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 3 + 8 + 538 + 40 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10963853840097 and 10963853840106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192356946 + ... + 192413934.

It is an arithmetic number, because the mean of its divisors is an integer number (71879207400).

Almost surely, 2^{10963853840160} is an apocalyptic number.

10963853840160 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 10963853840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701211731200).

10963853840160 is an abundant number, since it is smaller than the sum of its proper divisors (30438569622240).

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

10963853840160 is a wasteful number, since it uses less digits than its factorization.

10963853840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57305 (or 57294 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10963853840160 in words is "ten trillion, nine hundred sixty-three billion, eight hundred fifty-three million, eight hundred forty thousand, one hundred sixty".