10968285841920 has 1600 divisors, whose sum is σ = 44535071572992. Its totient is φ = 2556002304000.

The previous prime is 10968285841913. The next prime is 10968285841969. The reversal of 10968285841920 is 2914858286901.

10968285841920 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 8 + 28 + 584 + 1 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12798466132 + ... + 12798466988.

Almost surely, 2^{10968285841920} is an apocalyptic number.

10968285841920 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 10968285841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22267535786496).

10968285841920 is an abundant number, since it is smaller than the sum of its proper divisors (33566785731072).

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

10968285841920 is a wasteful number, since it uses less digits than its factorization.

10968285841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10968285841920 in words is "ten trillion, nine hundred sixty-eight billion, two hundred eighty-five million, eight hundred forty-one thousand, nine hundred twenty".