13598643520 has 448 divisors, whose sum is σ = 43914608640. Its totient is φ = 3881779200.

The previous prime is 13598643437. The next prime is 13598643521. The reversal of 13598643520 is 2534689531.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13598643521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14512492 + ... + 14513428.

It is an arithmetic number, because the mean of its divisors is an integer number (98023680).

Almost surely, 2^13598643520 is an apocalyptic number.

13598643520 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 13598643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21957304320).

13598643520 is an abundant number, since it is smaller than the sum of its proper divisors (30315965120).

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

13598643520 is a wasteful number, since it uses less digits than its factorization.

13598643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 13598643520 in words is "thirteen billion, five hundred ninety-eight million, six hundred forty-three thousand, five hundred twenty".