13488480000 has 1080 divisors, whose sum is σ = 56032376400. Its totient is φ = 3096576000.

The previous prime is 13488479969. The next prime is 13488480011. The reversal of 13488480000 is 8488431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 465119986 + ... + 465120014.

It is an arithmetic number, because the mean of its divisors is an integer number (51881830).

Almost surely, 2^13488480000 is an apocalyptic number.

13488480000 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 13488480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28016188200).

13488480000 is an abundant number, since it is smaller than the sum of its proper divisors (42543896400).

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

13488480000 is a wasteful number, since it uses less digits than its factorization.

13488480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13488480000 in words is "thirteen billion, four hundred eighty-eight million, four hundred eighty thousand".