27151318656 has 576 divisors, whose sum is σ = 100675224000. Its totient is φ = 6944071680.

The previous prime is 27151318627. The next prime is 27151318673. The reversal of 27151318656 is 65681315172.

27151318656 is a `hidden beast` number, since 2 + 7 + 1 + 513 + 1 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45327445 + ... + 45328043.

It is an arithmetic number, because the mean of its divisors is an integer number (174783375).

Almost surely, 2^27151318656 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 27151318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50337612000).

27151318656 is an abundant number, since it is smaller than the sum of its proper divisors (73523905344).

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

27151318656 is a wasteful number, since it uses less digits than its factorization.

27151318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 27151318656 in words is "twenty-seven billion, one hundred fifty-one million, three hundred eighteen thousand, six hundred fifty-six".