10584026664 has 32 divisors (see below), whose sum is σ = 26637660000. Its totient is φ = 3504329792.

The previous prime is 10584026657. The next prime is 10584026681. The reversal of 10584026664 is 46662048501.

It is a super-2 number, since 2×10584026664² (a number of 21 digits) contains 22 as substring.

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, 1476294 + ... + 1483445.

It is an arithmetic number, because the mean of its divisors is an integer number (832426875).

Almost surely, 2^10584026664 is an apocalyptic number.

It is an amenable number.

10584026664 is an abundant number, since it is smaller than the sum of its proper divisors (16053633336).

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

10584026664 is a wasteful number, since it uses less digits than its factorization.

10584026664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959897 (or 2959893 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 10584026664 in words is "ten billion, five hundred eighty-four million, twenty-six thousand, six hundred sixty-four".