10585859483967 has 4 divisors (see below), whose sum is σ = 14114479311960. Its totient is φ = 7057239655976.

The previous prime is 10585859483959. The next prime is 10585859483981. The reversal of 10585859483967 is 76938495858501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10585859483967 - 2³ = 10585859483959 is a prime.

It is a super-2 number, since 2×10585859483967² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585859483892 and 10585859483901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585859483987) 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 3 ways as a sum of consecutive naturals, for example, 1764309913992 + ... + 1764309913997.

It is an arithmetic number, because the mean of its divisors is an integer number (3528619827990).

Almost surely, 2^{10585859483967} is an apocalyptic number.

10585859483967 is a deficient number, since it is larger than the sum of its proper divisors (3528619827993).

10585859483967 is an equidigital number, since it uses as much as digits as its factorization.

10585859483967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528619827992.

The product of its (nonzero) digits is 2612736000, while the sum is 78.

The spelling of 10585859483967 in words is "ten trillion, five hundred eighty-five billion, eight hundred fifty-nine million, four hundred eighty-three thousand, nine hundred sixty-seven".