13278983872 has 224 divisors, whose sum is σ = 35525537280. Its totient is φ = 4767621120.

The previous prime is 13278983869. The next prime is 13278983947. The reversal of 13278983872 is 27838987231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13278983872² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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, 3462468 + ... + 3466300.

Almost surely, 2^13278983872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13278983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762768640).

13278983872 is an abundant number, since it is smaller than the sum of its proper divisors (22246553408).

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

13278983872 is a wasteful number, since it uses less digits than its factorization.

13278983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3909 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The spelling of 13278983872 in words is "thirteen billion, two hundred seventy-eight million, nine hundred eighty-three thousand, eight hundred seventy-two".