10585378656657 has 12 divisors (see below), whose sum is σ = 17474275877760. Its totient is φ = 6048787803768.

The previous prime is 10585378656653. The next prime is 10585378656661. The reversal of 10585378656657 is 75665687358501.

10585378656657 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 3 + 7 + 8 + 6 + 566 + 57 = 666.

It is an interprime number because it is at equal distance from previous prime (10585378656653) and next prime (10585378656661).

It is not a de Polignac number, because 10585378656657 - 2² = 10585378656653 is a prime.

It is a super-2 number, since 2×10585378656657² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10585378656653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84010941657 + ... + 84010941782.

It is an arithmetic number, because the mean of its divisors is an integer number (1456189656480).

Almost surely, 2^{10585378656657} is an apocalyptic number.

It is an amenable number.

10585378656657 is a deficient number, since it is larger than the sum of its proper divisors (6888897221103).

10585378656657 is a wasteful number, since it uses less digits than its factorization.

10585378656657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168021883452 (or 168021883449 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 10585378656657 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-eight million, six hundred fifty-six thousand, six hundred fifty-seven".