13327870920 has 256 divisors, whose sum is σ = 50799329280. Its totient is φ = 2721254400.

The previous prime is 13327870909. The next prime is 13327870991. The reversal of 13327870920 is 2907872331.

13327870920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 318835 + ... + 358205.

It is an arithmetic number, because the mean of its divisors is an integer number (198434880).

Almost surely, 2^13327870920 is an apocalyptic number.

13327870920 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 13327870920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25399664640).

13327870920 is an abundant number, since it is smaller than the sum of its proper divisors (37471458360).

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

13327870920 is a wasteful number, since it uses less digits than its factorization.

13327870920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39436 (or 39432 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13327870920 in words is "thirteen billion, three hundred twenty-seven million, eight hundred seventy thousand, nine hundred twenty".