13521424000 has 512 divisors, whose sum is σ = 41702169600. Its totient is φ = 4257792000.

The previous prime is 13521423959. The next prime is 13521424013. The reversal of 13521424000 is 42412531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74703910 + ... + 74704090.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550).

Almost surely, 2^13521424000 is an apocalyptic number.

13521424000 is a gapful number since it is divisible by the number (10) 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 13521424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

13521424000 is an abundant number, since it is smaller than the sum of its proper divisors (28180745600).

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

13521424000 is a wasteful number, since it uses less digits than its factorization.

13521424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13521424000 its reverse (42412531), we get a palindrome (13563836531).

The spelling of 13521424000 in words is "thirteen billion, five hundred twenty-one million, four hundred twenty-four thousand".