27117159680 has 288 divisors, whose sum is σ = 74552806944. Its totient is φ = 9361686528.

The previous prime is 27117159679. The next prime is 27117159691. The reversal of 27117159680 is 8695171172.

It can be written as a sum of positive squares in 16 ways, for example, as 681001216 + 26436158464 = 26096^2 + 162592^2 .

It is a super-2 number, since 2×27117159680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72699974 + ... + 72700346.

It is an arithmetic number, because the mean of its divisors is an integer number (258863913).

Almost surely, 2^27117159680 is an apocalyptic number.

27117159680 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 27117159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276403472).

27117159680 is an abundant number, since it is smaller than the sum of its proper divisors (47435647264).

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

27117159680 is a wasteful number, since it uses less digits than its factorization.

27117159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 47.

The spelling of 27117159680 in words is "twenty-seven billion, one hundred seventeen million, one hundred fifty-nine thousand, six hundred eighty".