12955852800000 has 2040 divisors, whose sum is σ = 53522693953344. Its totient is φ = 3096576000000.

The previous prime is 12955852799977. The next prime is 12955852800017. The reversal of 12955852800000 is 825855921.

It is a happy number.

12955852800000 is a `hidden beast` number, since 1 + 295 + 5 + 85 + 280 + 0 + 0 + 0 + 0 = 666.

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

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, 182476799965 + ... + 182476800035.

Almost surely, 2^{12955852800000} is an apocalyptic number.

12955852800000 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 12955852800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761346976672).

12955852800000 is an abundant number, since it is smaller than the sum of its proper divisors (40566841153344).

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

12955852800000 is an frugal number, since it uses more digits than its factorization.

12955852800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 12955852800000 in words is "twelve trillion, nine hundred fifty-five billion, eight hundred fifty-two million, eight hundred thousand".