13518612480 has 576 divisors, whose sum is σ = 48528305280. Its totient is φ = 3205103616.

The previous prime is 13518612469. The next prime is 13518612487. The reversal of 13518612480 is 8421681531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13518612487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255068134 + ... + 255068186.

It is an arithmetic number, because the mean of its divisors is an integer number (84250530).

Almost surely, 2^13518612480 is an apocalyptic number.

13518612480 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 13518612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264152640).

13518612480 is an abundant number, since it is smaller than the sum of its proper divisors (35009692800).

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

13518612480 is a wasteful number, since it uses less digits than its factorization.

13518612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 13518612480 in words is "thirteen billion, five hundred eighteen million, six hundred twelve thousand, four hundred eighty".