13582824540 has 48 divisors (see below), whose sum is σ = 39343358880. Its totient is φ = 3497186560.

The previous prime is 13582824539. The next prime is 13582824553. The reversal of 13582824540 is 4542828531.

13582824540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13582824492 and 13582824501.

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, 3901371 + ... + 3904850.

It is an arithmetic number, because the mean of its divisors is an integer number (819653310).

Almost surely, 2^13582824540 is an apocalyptic number.

13582824540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13582824540 is an abundant number, since it is smaller than the sum of its proper divisors (25760534340).

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

13582824540 is a wasteful number, since it uses less digits than its factorization.

13582824540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806262 (or 7806260 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 13582824540 in words is "thirteen billion, five hundred eighty-two million, eight hundred twenty-four thousand, five hundred forty".