27308141856 has 288 divisors, whose sum is σ = 86867726400. Its totient is φ = 8099481600.

The previous prime is 27308141851. The next prime is 27308141899. The reversal of 27308141856 is 65814180372.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27308141856² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27308141851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869131 + ... + 5873781.

It is an arithmetic number, because the mean of its divisors is an integer number (301624050).

Almost surely, 2^27308141856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27308141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43433863200).

27308141856 is an abundant number, since it is smaller than the sum of its proper divisors (59559584544).

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

27308141856 is a wasteful number, since it uses less digits than its factorization.

27308141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 27308141856 in words is "twenty-seven billion, three hundred eight million, one hundred forty-one thousand, eight hundred fifty-six".