12855593617920 has 1920 divisors, whose sum is σ = 50206946549760. Its totient is φ = 3145316106240.

The previous prime is 12855593617693. The next prime is 12855593618017. The reversal of 12855593617920 is 2971639555821.

12855593617920 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 5 + 5 + 9 + 3 + 617 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30681607471 + ... + 30681607889.

It is an arithmetic number, because the mean of its divisors is an integer number (26149451328).

Almost surely, 2^{12855593617920} is an apocalyptic number.

12855593617920 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 12855593617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25103473274880).

12855593617920 is an abundant number, since it is smaller than the sum of its proper divisors (37351352931840).

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

12855593617920 is an equidigital number, since it uses as much as digits as its factorization.

12855593617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 12855593617920 in words is "twelve trillion, eight hundred fifty-five billion, five hundred ninety-three million, six hundred seventeen thousand, nine hundred twenty".