13504400000000 has 1188 divisors, whose sum is σ = 43070936932044. Its totient is φ = 4193280000000.

The previous prime is 13504399999999. The next prime is 13504400000009. The reversal of 13504400000000 is 440531.

It can be written as a sum of positive squares in 18 ways, for example, as 251538359296 + 13252861640704 = 501536^2 + 3640448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13504400000009) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 254799999974 + ... + 254800000026.

Almost surely, 2^{13504400000000} is an apocalyptic number.

13504400000000 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 13504400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21535468466022).

13504400000000 is an abundant number, since it is smaller than the sum of its proper divisors (29566536932044).

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

13504400000000 is an frugal number, since it uses more digits than its factorization.

13504400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 13504400000000 its reverse (440531), we get a palindrome (13504400440531).

The spelling of 13504400000000 in words is "thirteen trillion, five hundred four billion, four hundred million", and thus it is an aban number.