13418537560 has 128 divisors (see below), whose sum is σ = 31479321600. Its totient is φ = 5144832000.

The previous prime is 13418537533. The next prime is 13418537569. The reversal of 13418537560 is 6573581431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418537569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17867185 + ... + 17867935.

It is an arithmetic number, because the mean of its divisors is an integer number (245932200).

Almost surely, 2^13418537560 is an apocalyptic number.

13418537560 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 13418537560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739660800).

13418537560 is an abundant number, since it is smaller than the sum of its proper divisors (18060784040).

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

13418537560 is a wasteful number, since it uses less digits than its factorization.

13418537560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 13418537560 in words is "thirteen billion, four hundred eighteen million, five hundred thirty-seven thousand, five hundred sixty".