10586116611081 has 32 divisors (see below), whose sum is σ = 17119850342400. Its totient is φ = 6411712620240.

The previous prime is 10586116611079. The next prime is 10586116611121. The reversal of 10586116611081 is 18011661168501.

10586116611081 is a `hidden beast` number, since 1 + 0 + 586 + 1 + 1 + 6 + 61 + 1 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 10586116611081 - 2¹ = 10586116611079 is a prime.

It is a super-3 number, since 3×10586116611081³ (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 (10586116611181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10968501 + ... + 11894546.

It is an arithmetic number, because the mean of its divisors is an integer number (534995323200).

Almost surely, 2^{10586116611081} is an apocalyptic number.

10586116611081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10586116611081 is a deficient number, since it is larger than the sum of its proper divisors (6533733731319).

10586116611081 is a wasteful number, since it uses less digits than its factorization.

10586116611081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22864626 (or 22864620 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

Adding to 10586116611081 its reverse (18011661168501), we get a palindrome (28597777779582).

The spelling of 10586116611081 in words is "ten trillion, five hundred eighty-six billion, one hundred sixteen million, six hundred eleven thousand, eighty-one".