27086552064 has 1056 divisors, whose sum is σ = 103569684480. Its totient is φ = 6900940800.

The previous prime is 27086552041. The next prime is 27086552069. The reversal of 27086552064 is 46025568072.

27086552064 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 65 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27086552069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873759729 + ... + 873759759.

Almost surely, 2^27086552064 is an apocalyptic number.

27086552064 is a gapful number since it is divisible by the number (24) 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 27086552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51784842240).

27086552064 is an abundant number, since it is smaller than the sum of its proper divisors (76483132416).

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

27086552064 is a wasteful number, since it uses less digits than its factorization.

27086552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 27086552064 in words is "twenty-seven billion, eighty-six million, five hundred fifty-two thousand, sixty-four".