12882113604360 has 2560 divisors, whose sum is σ = 59973129216000. Its totient is φ = 2443796490240.

The previous prime is 12882113604323. The next prime is 12882113604407. The reversal of 12882113604360 is 6340631128821.

12882113604360 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 1 + 1 + 3 + 604 + 36 + 0 = 666.

It is a super-2 number, since 2×12882113604360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 16368631887 + ... + 16368632673.

It is an arithmetic number, because the mean of its divisors is an integer number (23427003600).

Almost surely, 2^{12882113604360} is an apocalyptic number.

12882113604360 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 12882113604360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29986564608000).

12882113604360 is an abundant number, since it is smaller than the sum of its proper divisors (47091015611640).

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

12882113604360 is a wasteful number, since it uses less digits than its factorization.

12882113604360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12882113604360 in words is "twelve trillion, eight hundred eighty-two billion, one hundred thirteen million, six hundred four thousand, three hundred sixty".