10584873052 has 48 divisors (see below), whose sum is σ = 20308579200. Its totient is φ = 4797305280.

The previous prime is 10584873041. The next prime is 10584873073. The reversal of 10584873052 is 25037848501.

10584873052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10584873052² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4966027 + ... + 4968157.

It is an arithmetic number, because the mean of its divisors is an integer number (423095400).

Almost surely, 2^10584873052 is an apocalyptic number.

It is an amenable number.

10584873052 is a deficient number, since it is larger than the sum of its proper divisors (9723706148).

10584873052 is a wasteful number, since it uses less digits than its factorization.

10584873052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 10584873052 in words is "ten billion, five hundred eighty-four million, eight hundred seventy-three thousand, fifty-two".