27128618496000 has 4160 divisors, whose sum is σ = 128242468823040. Its totient is φ = 5558973235200.

The previous prime is 27128618495981. The next prime is 27128618496013. The reversal of 27128618496000 is 69481682172.

It is a happy number.

27128618496000 is a `hidden beast` number, since 2 + 7 + 1 + 28 + 6 + 1 + 8 + 4 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 113508863881 + ... + 113508864119.

It is an arithmetic number, because the mean of its divisors is an integer number (30827516544).

Almost surely, 2^{27128618496000} is an apocalyptic number.

27128618496000 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 27128618496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64121234411520).

27128618496000 is an abundant number, since it is smaller than the sum of its proper divisors (101113850327040).

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

27128618496000 is a wasteful number, since it uses less digits than its factorization.

27128618496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27128618496000 in words is "twenty-seven trillion, one hundred twenty-eight billion, six hundred eighteen million, four hundred ninety-six thousand".