12854656972800 has 1440 divisors, whose sum is σ = 48911516493840. Its totient is φ = 3335454720000.

The previous prime is 12854656972777. The next prime is 12854656972831. The reversal of 12854656972800 is 827965645821.

12854656972800 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 46 + 569 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51213772675 + ... + 51213772925.

Almost surely, 2^{12854656972800} is an apocalyptic number.

12854656972800 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 12854656972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455758246920).

12854656972800 is an abundant number, since it is smaller than the sum of its proper divisors (36056859521040).

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

12854656972800 is a wasteful number, since it uses less digits than its factorization.

12854656972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 12854656972800 in words is "twelve trillion, eight hundred fifty-four billion, six hundred fifty-six million, nine hundred seventy-two thousand, eight hundred".