10584494784 has 168 divisors, whose sum is σ = 30811622400. Its totient is φ = 3473597952.

The previous prime is 10584494783. The next prime is 10584494807. The reversal of 10584494784 is 48749448501.

10584494784 is a `hidden beast` number, since 1 + 0 + 5 + 84 + 494 + 78 + 4 = 666.

It is a super-2 number, since 2×10584494784² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10584494784.

It is not an unprimeable number, because it can be changed into a prime (10584494783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12264337 + ... + 12265199.

Almost surely, 2^10584494784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10584494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405811200).

10584494784 is an abundant number, since it is smaller than the sum of its proper divisors (20227127616).

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

10584494784 is a wasteful number, since it uses less digits than its factorization.

10584494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10584494784 in words is "ten billion, five hundred eighty-four million, four hundred ninety-four thousand, seven hundred eighty-four".