13521984000 has 320 divisors, whose sum is σ = 51384782592. Its totient is φ = 3090432000.

The previous prime is 13521983983. The next prime is 13521984001. The reversal of 13521984000 is 48912531.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (13521984001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338970 + ... + 1349030.

Almost surely, 2^13521984000 is an apocalyptic number.

13521984000 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 13521984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692391296).

13521984000 is an abundant number, since it is smaller than the sum of its proper divisors (37862798592).

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

13521984000 is an equidigital number, since it uses as much as digits as its factorization.

13521984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 13521984000 in words is "thirteen billion, five hundred twenty-one million, nine hundred eighty-four thousand".