10584519304 has 16 divisors (see below), whose sum is σ = 19849551120. Its totient is φ = 5291305680.

The previous prime is 10584519301. The next prime is 10584519329. The reversal of 10584519304 is 40391548501.

10584519304 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 2×10584519304² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10584519301) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 70942 + ... + 161869.

It is an arithmetic number, because the mean of its divisors is an integer number (1240596945).

Almost surely, 2^10584519304 is an apocalyptic number.

It is an amenable number.

10584519304 is a deficient number, since it is larger than the sum of its proper divisors (9265031816).

10584519304 is a wasteful number, since it uses less digits than its factorization.

10584519304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238500 (or 238496 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 10584519304 in words is "ten billion, five hundred eighty-four million, five hundred nineteen thousand, three hundred four".