10585105038351 has 24 divisors (see below), whose sum is σ = 15385734000000. Its totient is φ = 7012479018816.

The previous prime is 10585105038323. The next prime is 10585105038373. The reversal of 10585105038351 is 15383050158501.

10585105038351 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 10 + 503 + 83 + 51 = 666.

It is not a de Polignac number, because 10585105038351 - 2²¹ = 10585102941199 is a prime.

It is a super-2 number, since 2×10585105038351² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585105038297 and 10585105038306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585105088351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616476 + ... + 5852273.

It is an arithmetic number, because the mean of its divisors is an integer number (641072250000).

Almost surely, 2^{10585105038351} is an apocalyptic number.

10585105038351 is a deficient number, since it is larger than the sum of its proper divisors (4800628961649).

10585105038351 is a wasteful number, since it uses less digits than its factorization.

10585105038351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469535 (or 9469532 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 10585105038351 in words is "ten trillion, five hundred eighty-five billion, one hundred five million, thirty-eight thousand, three hundred fifty-one".