13218248778280 has 512 divisors, whose sum is σ = 40168319385600. Its totient is φ = 3797300736000.

The previous prime is 13218248778271. The next prime is 13218248778289. The reversal of 13218248778280 is 8287784281231.

It is an interprime number because it is at equal distance from previous prime (13218248778271) and next prime (13218248778289).

It is not an unprimeable number, because it can be changed into a prime (13218248778289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216509439 + ... + 216570481.

It is an arithmetic number, because the mean of its divisors is an integer number (78453748800).

Almost surely, 2^{13218248778280} is an apocalyptic number.

13218248778280 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 13218248778280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084159692800).

13218248778280 is an abundant number, since it is smaller than the sum of its proper divisors (26950070607320).

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

13218248778280 is a wasteful number, since it uses less digits than its factorization.

13218248778280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61225 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 61.

The spelling of 13218248778280 in words is "thirteen trillion, two hundred eighteen billion, two hundred forty-eight million, seven hundred seventy-eight thousand, two hundred eighty".