27608144180672 has 252 divisors, whose sum is σ = 64823905495440. Its totient is φ = 11617142169600.

The previous prime is 27608144180657. The next prime is 27608144180677.

27608144180672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27608144180677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489834029 + ... + 489890387.

It is an arithmetic number, because the mean of its divisors is an integer number (257237720220).

Almost surely, 2^{27608144180672} is an apocalyptic number.

27608144180672 is a gapful number since it is divisible by the number (22) 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 27608144180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32411952747720).

27608144180672 is an abundant number, since it is smaller than the sum of its proper divisors (37215761314768).

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

27608144180672 is a wasteful number, since it uses less digits than its factorization.

27608144180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56532 (or 56450 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 27608144180672 in words is "twenty-seven trillion, six hundred eight billion, one hundred forty-four million, one hundred eighty thousand, six hundred seventy-two".