13503725984000 has 432 divisors, whose sum is σ = 39725911225728. Its totient is φ = 4480427520000.

The previous prime is 13503725983963. The next prime is 13503725984017. The reversal of 13503725984000 is 48952730531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215232635 + ... + 215295365.

Almost surely, 2^{13503725984000} is an apocalyptic number.

13503725984000 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 13503725984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862955612864).

13503725984000 is an abundant number, since it is smaller than the sum of its proper divisors (26222185241728).

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

13503725984000 is an frugal number, since it uses more digits than its factorization.

13503725984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62831 (or 62776 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 13503725984000 in words is "thirteen trillion, five hundred three billion, seven hundred twenty-five million, nine hundred eighty-four thousand".