10680183768012 has 24 divisors (see below), whose sum is σ = 27185922318912. Its totient is φ = 3236419323600.

The previous prime is 10680183768011. The next prime is 10680183768019. The reversal of 10680183768012 is 21086738108601.

It is a happy number.

It is a super-3 number, since 3×10680183768012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10680183768011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40455241414 + ... + 40455241677.

It is an arithmetic number, because the mean of its divisors is an integer number (1132746763288).

Almost surely, 2^{10680183768012} is an apocalyptic number.

10680183768012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10680183768012 is an abundant number, since it is smaller than the sum of its proper divisors (16505738550900).

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

10680183768012 is a wasteful number, since it uses less digits than its factorization.

10680183768012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80910483109 (or 80910483107 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 10680183768012 in words is "ten trillion, six hundred eighty billion, one hundred eighty-three million, seven hundred sixty-eight thousand, twelve".