27127888901136 has 225 divisors, whose sum is σ = 79127961525613. Its totient is φ = 8972690647680.

The previous prime is 27127888901077. The next prime is 27127888901153. The reversal of 27127888901136 is 63110988872172.

The square root of 27127888901136 is 5208444.

It is a perfect power (a square), and thus also a powerful number.

27127888901136 is a `hidden beast` number, since 2 + 71 + 278 + 88 + 90 + 1 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3178218955536 + 23949669945600 = 1782756^2 + 4893840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27938093131 + ... + 27938094101.

Almost surely, 2^{27127888901136} is an apocalyptic number.

27127888901136 is the 5208444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27127888901136

27127888901136 is an abundant number, since it is smaller than the sum of its proper divisors (52000072624477).

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

27127888901136 is an frugal number, since it uses more digits than its factorization.

27127888901136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 27127888901136 in words is "twenty-seven trillion, one hundred twenty-seven billion, eight hundred eighty-eight million, nine hundred one thousand, one hundred thirty-six".