13380819248160 has 2880 divisors, whose sum is σ = 64997283859200. Its totient is φ = 2557638623232.

The previous prime is 13380819248119. The next prime is 13380819248191. The reversal of 13380819248160 is 6184291808331.

13380819248160 is a `hidden beast` number, since 1 + 3 + 3 + 80 + 81 + 9 + 2 + 481 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13380819248097 and 13380819248106.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3607660386 + ... + 3607664094.

It is an arithmetic number, because the mean of its divisors is an integer number (22568501340).

Almost surely, 2^{13380819248160} is an apocalyptic number.

13380819248160 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 13380819248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32498641929600).

13380819248160 is an abundant number, since it is smaller than the sum of its proper divisors (51616464611040).

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

13380819248160 is a wasteful number, since it uses less digits than its factorization.

13380819248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13380819248160 in words is "thirteen trillion, three hundred eighty billion, eight hundred nineteen million, two hundred forty-eight thousand, one hundred sixty".