10585745565 has 16 divisors (see below), whose sum is σ = 16938473856. Its totient is φ = 5645304000.

The previous prime is 10585745539. The next prime is 10585745579. The reversal of 10585745565 is 56554758501.

It is a happy number.

It is not a de Polignac number, because 10585745565 - 2¹² = 10585741469 is a prime.

It is a super-2 number, since 2×10585745565² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347655 + ... + 376875.

It is an arithmetic number, because the mean of its divisors is an integer number (1058654616).

Almost surely, 2^10585745565 is an apocalyptic number.

10585745565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10585745565 is a deficient number, since it is larger than the sum of its proper divisors (6352728291).

10585745565 is a wasteful number, since it uses less digits than its factorization.

10585745565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53380.

The product of its (nonzero) digits is 4200000, while the sum is 51.

The spelling of 10585745565 in words is "ten billion, five hundred eighty-five million, seven hundred forty-five thousand, five hundred sixty-five".