12678249185280 has 2016 divisors, whose sum is σ = 55452379659264. Its totient is φ = 2715191083008.

The previous prime is 12678249185221. The next prime is 12678249185291. The reversal of 12678249185280 is 8258194287621.

12678249185280 is a `hidden beast` number, since 1 + 2 + 6 + 78 + 24 + 9 + 18 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 56853135249 + ... + 56853135471.

It is an arithmetic number, because the mean of its divisors is an integer number (27506140704).

Almost surely, 2^{12678249185280} is an apocalyptic number.

12678249185280 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 12678249185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27726189829632).

12678249185280 is an abundant number, since it is smaller than the sum of its proper divisors (42774130473984).

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

12678249185280 is an frugal number, since it uses more digits than its factorization.

12678249185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 12678249185280 in words is "twelve trillion, six hundred seventy-eight billion, two hundred forty-nine million, one hundred eighty-five thousand, two hundred eighty".