13379083776 has 480 divisors, whose sum is σ = 43950535200. Its totient is φ = 3892838400.

The previous prime is 13379083747. The next prime is 13379083777. The reversal of 13379083776 is 67738097331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379083777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132466126 + ... + 132466226.

It is an arithmetic number, because the mean of its divisors is an integer number (91563615).

Almost surely, 2^13379083776 is an apocalyptic number.

13379083776 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 13379083776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975267600).

13379083776 is an abundant number, since it is smaller than the sum of its proper divisors (30571451424).

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

13379083776 is a wasteful number, since it uses less digits than its factorization.

13379083776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 13379083776 in words is "thirteen billion, three hundred seventy-nine million, eighty-three thousand, seven hundred seventy-six".