13504896000 has 528 divisors, whose sum is σ = 51310265760. Its totient is φ = 3406233600.

The previous prime is 13504895983. The next prime is 13504896023. The reversal of 13504896000 is 69840531.

13504896000 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 48 + 9 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21887692 + ... + 21888308.

Almost surely, 2^13504896000 is an apocalyptic number.

13504896000 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 13504896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25655132880).

13504896000 is an abundant number, since it is smaller than the sum of its proper divisors (37805369760).

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

13504896000 is a wasteful number, since it uses less digits than its factorization.

13504896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13504896000 in words is "thirteen billion, five hundred four million, eight hundred ninety-six thousand".