13218779280 has 320 divisors, whose sum is σ = 47836938240. Its totient is φ = 2957340672.

The previous prime is 13218779279. The next prime is 13218779293. The reversal of 13218779280 is 8297781231.

It is a happy number.

It is a super-2 number, since 2×13218779280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18182277 + ... + 18183003.

It is an arithmetic number, because the mean of its divisors is an integer number (149490432).

Almost surely, 2^13218779280 is an apocalyptic number.

13218779280 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 13218779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918469120).

13218779280 is an abundant number, since it is smaller than the sum of its proper divisors (34618158960).

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

13218779280 is a wasteful number, since it uses less digits than its factorization.

13218779280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 13218779280 in words is "thirteen billion, two hundred eighteen million, seven hundred seventy-nine thousand, two hundred eighty".