27167201280000 has 1200 divisors, whose sum is σ = 101721261401760. Its totient is φ = 7162822656000.

The previous prime is 27167201279983. The next prime is 27167201280001. The reversal of 27167201280000 is 8210276172.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27167201280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26818559494 + ... + 26818560506.

Almost surely, 2^{27167201280000} is an apocalyptic number.

27167201280000 is a gapful number since it is divisible by the number (20) 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 27167201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50860630700880).

27167201280000 is an abundant number, since it is smaller than the sum of its proper divisors (74554060121760).

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

27167201280000 is an frugal number, since it uses more digits than its factorization.

27167201280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 27167201280000 in words is "twenty-seven trillion, one hundred sixty-seven billion, two hundred one million, two hundred eighty thousand".