27315108016 has 240 divisors, whose sum is σ = 68782383360. Its totient is φ = 10426268160.

The previous prime is 27315108013. The next prime is 27315108059. The reversal of 27315108016 is 61080151372.

It is a happy number.

It is a super-2 number, since 2×27315108016² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27315108013) 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 47 ways as a sum of consecutive naturals, for example, 20898435 + ... + 20899741.

It is an arithmetic number, because the mean of its divisors is an integer number (286593264).

Almost surely, 2^27315108016 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 27315108016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391191680).

27315108016 is an abundant number, since it is smaller than the sum of its proper divisors (41467275344).

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

27315108016 is a wasteful number, since it uses less digits than its factorization.

27315108016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 27315108016 its reverse (61080151372), we get a palindrome (88395259388).

The spelling of 27315108016 in words is "twenty-seven billion, three hundred fifteen million, one hundred eight thousand, sixteen".