27134626560 has 576 divisors, whose sum is σ = 95929989120. Its totient is φ = 6511656960.

The previous prime is 27134626559. The next prime is 27134626573. The reversal of 27134626560 is 6562643172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140593824 + ... + 140594016.

It is an arithmetic number, because the mean of its divisors is an integer number (166545120).

Almost surely, 2^27134626560 is an apocalyptic number.

27134626560 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 27134626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47964994560).

27134626560 is an abundant number, since it is smaller than the sum of its proper divisors (68795362560).

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

27134626560 is a wasteful number, since it uses less digits than its factorization.

27134626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 27134626560 in words is "twenty-seven billion, one hundred thirty-four million, six hundred twenty-six thousand, five hundred sixty".