27054646272000 has 1792 divisors, whose sum is σ = 104887897920000. Its totient is φ = 6873337036800.

The previous prime is 27054646271999. The next prime is 27054646272001. The reversal of 27054646272000 is 27264645072.

It is a happy number.

27054646272000 is a `hidden beast` number, since 2 + 70 + 54 + 6 + 462 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27054646271999) and next prime (27054646272001).

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

It is not an unprimeable number, because it can be changed into a prime (27054646272001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54217727751 + ... + 54217728249.

Almost surely, 2^{27054646272000} is an apocalyptic number.

27054646272000 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 27054646272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52443948960000).

27054646272000 is an abundant number, since it is smaller than the sum of its proper divisors (77833251648000).

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

27054646272000 is an equidigital number, since it uses as much as digits as its factorization.

27054646272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27054646272000 in words is "twenty-seven trillion, fifty-four billion, six hundred forty-six million, two hundred seventy-two thousand".