12854580538800 has 2880 divisors, whose sum is σ = 59738446494720. Its totient is φ = 2290935398400.

The previous prime is 12854580538769. The next prime is 12854580538801. The reversal of 12854580538800 is 883508545821.

It is not an unprimeable number, because it can be changed into a prime (12854580538801) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 19991571279 + ... + 19991571921.

It is an arithmetic number, because the mean of its divisors is an integer number (20742516144).

Almost surely, 2^{12854580538800} is an apocalyptic number.

12854580538800 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 12854580538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29869223247360).

12854580538800 is an abundant number, since it is smaller than the sum of its proper divisors (46883865955920).

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

12854580538800 is a wasteful number, since it uses less digits than its factorization.

12854580538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 57.

The spelling of 12854580538800 in words is "twelve trillion, eight hundred fifty-four billion, five hundred eighty million, five hundred thirty-eight thousand, eight hundred".