12711828807360 has 336 divisors, whose sum is σ = 46093146584160. Its totient is φ = 3206628311040.

The previous prime is 12711828807313. The next prime is 12711828807367. The reversal of 12711828807360 is 6370882811721.

12711828807360 is a `hidden beast` number, since 1 + 27 + 1 + 182 + 8 + 80 + 7 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12711828807297 and 12711828807306.

It is not an unprimeable number, because it can be changed into a prime (12711828807367) 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, 36653970 + ... + 36999150.

Almost surely, 2^{12711828807360} is an apocalyptic number.

12711828807360 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 12711828807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046573292080).

12711828807360 is an abundant number, since it is smaller than the sum of its proper divisors (33381317776800).

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

12711828807360 is a wasteful number, since it uses less digits than its factorization.

12711828807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345896 (or 345883 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 12711828807360 in words is "twelve trillion, seven hundred eleven billion, eight hundred twenty-eight million, eight hundred seven thousand, three hundred sixty".