12855694355680 has 192 divisors, whose sum is σ = 35422215349248. Its totient is φ = 4357092188160.

The previous prime is 12855694355557. The next prime is 12855694355683. The reversal of 12855694355680 is 8655349655821.

It is a super-2 number, since 2×12855694355680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12855694355683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995989 + ... + 5167531.

It is an arithmetic number, because the mean of its divisors is an integer number (184490704944).

Almost surely, 2^{12855694355680} is an apocalyptic number.

12855694355680 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 12855694355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711107674624).

12855694355680 is an abundant number, since it is smaller than the sum of its proper divisors (22566520993568).

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

12855694355680 is a wasteful number, since it uses less digits than its factorization.

12855694355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171689 (or 4171681 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 67.

The spelling of 12855694355680 in words is "twelve trillion, eight hundred fifty-five billion, six hundred ninety-four million, three hundred fifty-five thousand, six hundred eighty".