13379821056 has 360 divisors, whose sum is σ = 45907084080. Its totient is φ = 3816087552.

The previous prime is 13379821051. The next prime is 13379821067. The reversal of 13379821056 is 65012897331.

13379821056 is a `hidden beast` number, since 13 + 379 + 8 + 210 + 56 = 666.

It is a super-2 number, since 2×13379821056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379821051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23514340 + ... + 23514908.

It is an arithmetic number, because the mean of its divisors is an integer number (127519678).

Almost surely, 2^13379821056 is an apocalyptic number.

13379821056 is a gapful number since it is divisible by the number (16) 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 13379821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22953542040).

13379821056 is an abundant number, since it is smaller than the sum of its proper divisors (32527263024).

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

13379821056 is an frugal number, since it uses more digits than its factorization.

13379821056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13379821056 in words is "thirteen billion, three hundred seventy-nine million, eight hundred twenty-one thousand, fifty-six".