13218724080 has 240 divisors, whose sum is σ = 46852715520. Its totient is φ = 3330657792.

The previous prime is 13218724049. The next prime is 13218724093. The reversal of 13218724080 is 8042781231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6332797 + ... + 6334883.

It is an arithmetic number, because the mean of its divisors is an integer number (195219648).

Almost surely, 2^13218724080 is an apocalyptic number.

13218724080 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 13218724080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426357760).

13218724080 is an abundant number, since it is smaller than the sum of its proper divisors (33633991440).

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

13218724080 is a wasteful number, since it uses less digits than its factorization.

13218724080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13218724080 in words is "thirteen billion, two hundred eighteen million, seven hundred twenty-four thousand, eighty".