10681994880 has 960 divisors, whose sum is σ = 43649210880. Its totient is φ = 2481684480.

The previous prime is 10681994837. The next prime is 10681994887. The reversal of 10681994880 is 8849918601.

10681994880 is a `hidden beast` number, since 10 + 68 + 1 + 99 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10681994880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10681994887) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344580465 + ... + 344580495.

It is an arithmetic number, because the mean of its divisors is an integer number (45467928).

Almost surely, 2^10681994880 is an apocalyptic number.

10681994880 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 10681994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824605440).

10681994880 is an abundant number, since it is smaller than the sum of its proper divisors (32967216000).

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

10681994880 is a wasteful number, since it uses less digits than its factorization.

10681994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10681994880 in words is "ten billion, six hundred eighty-one million, nine hundred ninety-four thousand, eight hundred eighty".