12855109017600 has 924 divisors, whose sum is σ = 47862800683656. Its totient is φ = 3424804208640.

The previous prime is 12855109017589. The next prime is 12855109017629. The reversal of 12855109017600 is 671090155821.

12855109017600 is a `hidden beast` number, since 1 + 2 + 8 + 551 + 0 + 90 + 1 + 7 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 12093234669 + ... + 12093235731.

Almost surely, 2^{12855109017600} is an apocalyptic number.

12855109017600 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 12855109017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23931400341828).

12855109017600 is an abundant number, since it is smaller than the sum of its proper divisors (35007691666056).

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

12855109017600 is an frugal number, since it uses more digits than its factorization.

12855109017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 12855109017600 in words is "twelve trillion, eight hundred fifty-five billion, one hundred nine million, seventeen thousand, six hundred".