27082750464000 has 3744 divisors, whose sum is σ = 127680402140928. Its totient is φ = 5605687296000.

The previous prime is 27082750463953. The next prime is 27082750464023. The reversal of 27082750464000 is 46405728072.

It is a happy number.

27082750464000 is a `hidden beast` number, since 2 + 7 + 0 + 82 + 7 + 504 + 64 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105380351872 + ... + 105380352128.

It is an arithmetic number, because the mean of its divisors is an integer number (34102671512).

Almost surely, 2^{27082750464000} is an apocalyptic number.

27082750464000 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 27082750464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840201070464).

27082750464000 is an abundant number, since it is smaller than the sum of its proper divisors (100597651676928).

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

27082750464000 is an equidigital number, since it uses as much as digits as its factorization.

27082750464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 27082750464000 in words is "twenty-seven trillion, eighty-two billion, seven hundred fifty million, four hundred sixty-four thousand".