12933180057600 has 2160 divisors, whose sum is σ = 53580925288800. Its totient is φ = 3091156992000.

The previous prime is 12933180057521. The next prime is 12933180057641. The reversal of 12933180057600 is 675008133921.

12933180057600 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 31 + 8 + 0 + 0 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 182157465565 + ... + 182157465635.

It is an arithmetic number, because the mean of its divisors is an integer number (24805983930).

Almost surely, 2^{12933180057600} is an apocalyptic number.

12933180057600 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 12933180057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26790462644400).

12933180057600 is an abundant number, since it is smaller than the sum of its proper divisors (40647745231200).

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

12933180057600 is an frugal number, since it uses more digits than its factorization.

12933180057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12933180057600 in words is "twelve trillion, nine hundred thirty-three billion, one hundred eighty million, fifty-seven thousand, six hundred".