10968441120 has 384 divisors, whose sum is σ = 47250362880. Its totient is φ = 2314137600.

The previous prime is 10968441109. The next prime is 10968441131. The reversal of 10968441120 is 2114486901.

10968441120 is a `hidden beast` number, since 1 + 0 + 96 + 8 + 441 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10968441109) and next prime (10968441131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379170 + ... + 407070.

It is an arithmetic number, because the mean of its divisors is an integer number (123047820).

Almost surely, 2^10968441120 is an apocalyptic number.

10968441120 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 10968441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23625181440).

10968441120 is an abundant number, since it is smaller than the sum of its proper divisors (36281921760).

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

10968441120 is a wasteful number, since it uses less digits than its factorization.

10968441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27945 (or 27931 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10968441120 in words is "ten billion, nine hundred sixty-eight million, four hundred forty-one thousand, one hundred twenty".