10585037664 has 48 divisors (see below), whose sum is σ = 30873029040. Its totient is φ = 3528345600.

The previous prime is 10585037599. The next prime is 10585037677. The reversal of 10585037664 is 46673058501.

10585037664 is a `hidden beast` number, since 1 + 0 + 585 + 0 + 3 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10585037664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6124737 + ... + 6126464.

It is an arithmetic number, because the mean of its divisors is an integer number (643188105).

Almost surely, 2^10585037664 is an apocalyptic number.

It is an amenable number.

10585037664 is an abundant number, since it is smaller than the sum of its proper divisors (20287991376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10585037664 is a wasteful number, since it uses less digits than its factorization.

10585037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251220 (or 12251206 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10585037664 in words is "ten billion, five hundred eighty-five million, thirty-seven thousand, six hundred sixty-four".