10585668861 has 12 divisors (see below), whose sum is σ = 15349909692. Its totient is φ = 7029651456.

The previous prime is 10585668839. The next prime is 10585668869. The reversal of 10585668861 is 16886658501.

10585668861 is a `hidden beast` number, since 10 + 5 + 8 + 566 + 8 + 8 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10166688900 + 418979961 = 100830^2 + 20469^2 .

It is not a de Polignac number, because 10585668861 - 2⁵ = 10585668829 is a prime.

It is a super-2 number, since 2×10585668861² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585668798 and 10585668807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585668869) 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 11 ways as a sum of consecutive naturals, for example, 2285986 + ... + 2290611.

It is an arithmetic number, because the mean of its divisors is an integer number (1279159141).

Almost surely, 2^10585668861 is an apocalyptic number.

It is an amenable number.

10585668861 is a deficient number, since it is larger than the sum of its proper divisors (4764240831).

10585668861 is a wasteful number, since it uses less digits than its factorization.

10585668861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576860 (or 4576857 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10585668861 in words is "ten billion, five hundred eighty-five million, six hundred sixty-eight thousand, eight hundred sixty-one".