27942580416960 has 336 divisors, whose sum is σ = 104864275676160. Its totient is φ = 6772919162880.

The previous prime is 27942580416917. The next prime is 27942580416973. The reversal of 27942580416960 is 6961408524972.

27942580416960 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 2 + 580 + 41 + 6 + 9 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217355581 + ... + 217484099.

It is an arithmetic number, because the mean of its divisors is an integer number (312096058560).

Almost surely, 2^{27942580416960} is an apocalyptic number.

27942580416960 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 27942580416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52432137838080).

27942580416960 is an abundant number, since it is smaller than the sum of its proper divisors (76921695259200).

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

27942580416960 is a wasteful number, since it uses less digits than its factorization.

27942580416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135416 (or 135403 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 27942580416960 in words is "twenty-seven trillion, nine hundred forty-two billion, five hundred eighty million, four hundred sixteen thousand, nine hundred sixty".