10584519344 has 80 divisors (see below), whose sum is σ = 23676960768. Its totient is φ = 4489986816.

The previous prime is 10584519331. The next prime is 10584519349. The reversal of 10584519344 is 44391548501.

It is a super-2 number, since 2×10584519344² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10584519295 and 10584519304.

It is not an unprimeable number, because it can be changed into a prime (10584519349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10767077 + ... + 10768059.

Almost surely, 2^10584519344 is an apocalyptic number.

10584519344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10584519344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838480384).

10584519344 is an abundant number, since it is smaller than the sum of its proper divisors (13092441424).

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

10584519344 is a wasteful number, since it uses less digits than its factorization.

10584519344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 10584519344 in words is "ten billion, five hundred eighty-four million, five hundred nineteen thousand, three hundred forty-four".