10968327833760 has 288 divisors, whose sum is σ = 40841721752832. Its totient is φ = 2658361559040.

The previous prime is 10968327833753. The next prime is 10968327833797. The reversal of 10968327833760 is 6733872386901.

10968327833760 is a `hidden beast` number, since 1 + 0 + 96 + 83 + 27 + 83 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68935417 + ... + 69094343.

It is an arithmetic number, because the mean of its divisors is an integer number (141811533864).

Almost surely, 2^{10968327833760} is an apocalyptic number.

10968327833760 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 10968327833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420860876416).

10968327833760 is an abundant number, since it is smaller than the sum of its proper divisors (29873393919072).

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

10968327833760 is a wasteful number, since it uses less digits than its factorization.

10968327833760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163316 (or 163305 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 10968327833760 in words is "ten trillion, nine hundred sixty-eight billion, three hundred twenty-seven million, eight hundred thirty-three thousand, seven hundred sixty".