12678521856000 has 5376 divisors, whose sum is σ = 62653037690880. Its totient is φ = 2229534720000.

The previous prime is 12678521855963. The next prime is 12678521856001. The reversal of 12678521856000 is 65812587621.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678521856001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 408984575985 + ... + 408984576015.

It is an arithmetic number, because the mean of its divisors is an integer number (11654210880).

Almost surely, 2^{12678521856000} is an apocalyptic number.

12678521856000 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 12678521856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326518845440).

12678521856000 is an abundant number, since it is smaller than the sum of its proper divisors (49974515834880).

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

12678521856000 is a wasteful number, since it uses less digits than its factorization.

12678521856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 12678521856000 in words is "twelve trillion, six hundred seventy-eight billion, five hundred twenty-one million, eight hundred fifty-six thousand".