13424540513500 has 192 divisors, whose sum is σ = 30852065147904. Its totient is φ = 5093074272000.

The previous prime is 13424540513497. The next prime is 13424540513543. The reversal of 13424540513500 is 531504542431.

It is a self number, because there is not a number n which added to its sum of digits gives 13424540513500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2451072762 + ... + 2451078238.

It is an arithmetic number, because the mean of its divisors is an integer number (160687839312).

Almost surely, 2^{13424540513500} is an apocalyptic number.

13424540513500 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 13424540513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426032573952).

13424540513500 is an abundant number, since it is smaller than the sum of its proper divisors (17427524634404).

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

13424540513500 is a wasteful number, since it uses less digits than its factorization.

13424540513500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 13424540513500 in words is "thirteen trillion, four hundred twenty-four billion, five hundred forty million, five hundred thirteen thousand, five hundred".