27084350951680 has 144 divisors (see below), whose sum is σ = 73850354653824. Its totient is φ = 9420643696640.

The previous prime is 27084350951663. The next prime is 27084350951681. The reversal of 27084350951680 is 8615905348072.

It is not an unprimeable number, because it can be changed into a prime (27084350951681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41493649 + ... + 42141328.

It is an arithmetic number, because the mean of its divisors is an integer number (512849685096).

It is a 1-persistent number, because it is pandigital, but 2⋅27084350951680 = 54168701903360 is not.

Almost surely, 2^{27084350951680} is an apocalyptic number.

27084350951680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27084350951680 is an abundant number, since it is smaller than the sum of its proper divisors (46766003702144).

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

27084350951680 is a wasteful number, since it uses less digits than its factorization.

27084350951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83635032 (or 83635018 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 27084350951680 in words is "twenty-seven trillion, eighty-four billion, three hundred fifty million, nine hundred fifty-one thousand, six hundred eighty".