13279721472 has 384 divisors, whose sum is σ = 41597337600. Its totient is φ = 4180377600.

The previous prime is 13279721449. The next prime is 13279721537. The reversal of 13279721472 is 27412797231.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (296352) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104564673 + ... + 104564799.

It is an arithmetic number, because the mean of its divisors is an integer number (108326400).

Almost surely, 2^13279721472 is an apocalyptic number.

13279721472 is a gapful number since it is divisible by the number (12) 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 13279721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798668800).

13279721472 is an abundant number, since it is smaller than the sum of its proper divisors (28317616128).

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

13279721472 is a wasteful number, since it uses less digits than its factorization.

13279721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 13279721472 in words is "thirteen billion, two hundred seventy-nine million, seven hundred twenty-one thousand, four hundred seventy-two".