10681918052085 has 48 divisors (see below), whose sum is σ = 21160641280896. Its totient is φ = 4883100165504.

The previous prime is 10681918052017. The next prime is 10681918052119. The reversal of 10681918052085 is 58025081918601.

10681918052085 is a `hidden beast` number, since 10 + 6 + 8 + 19 + 18 + 0 + 520 + 85 = 666.

It is not a de Polignac number, because 10681918052085 - 2⁷ = 10681918051957 is a prime.

It is a super-2 number, since 2×10681918052085² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32149627 + ... + 32480183.

It is an arithmetic number, because the mean of its divisors is an integer number (440846693352).

Almost surely, 2^{10681918052085} is an apocalyptic number.

10681918052085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10681918052085 is a deficient number, since it is larger than the sum of its proper divisors (10478723228811).

10681918052085 is a wasteful number, since it uses less digits than its factorization.

10681918052085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433162 (or 433159 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 10681918052085 in words is "ten trillion, six hundred eighty-one billion, nine hundred eighteen million, fifty-two thousand, eighty-five".