27128483712000 has 1760 divisors, whose sum is σ = 111725938621440. Its totient is φ = 6491197440000.

The previous prime is 27128483711887. The next prime is 27128483712049. The reversal of 27128483712000 is 21738482172.

27128483712000 is a `hidden beast` number, since 2 + 71 + 2 + 8 + 4 + 8 + 371 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 9009790495 + ... + 9009793505.

It is an arithmetic number, because the mean of its divisors is an integer number (63480646944).

Almost surely, 2^{27128483712000} is an apocalyptic number.

27128483712000 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 27128483712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55862969310720).

27128483712000 is an abundant number, since it is smaller than the sum of its proper divisors (84597454909440).

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

27128483712000 is a wasteful number, since it uses less digits than its factorization.

27128483712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27128483712000 in words is "twenty-seven trillion, one hundred twenty-eight billion, four hundred eighty-three million, seven hundred twelve thousand".