13327878960 has 360 divisors, whose sum is σ = 52098228000. Its totient is φ = 3040604160.

The previous prime is 13327878937. The next prime is 13327878997. The reversal of 13327878960 is 6987872331.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 13327878897 and 13327878906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1476541 + ... + 1485539.

It is an arithmetic number, because the mean of its divisors is an integer number (144717300).

Almost surely, 2^13327878960 is an apocalyptic number.

13327878960 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 13327878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049114000).

13327878960 is an abundant number, since it is smaller than the sum of its proper divisors (38770349040).

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

13327878960 is a wasteful number, since it uses less digits than its factorization.

13327878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13327878960 in words is "thirteen billion, three hundred twenty-seven million, eight hundred seventy-eight thousand, nine hundred sixty".