27593914446081 has 27 divisors (see below), whose sum is σ = 40154075128713. Its totient is φ = 18260237194560.

The previous prime is 27593914446071. The next prime is 27593914446143. The reversal of 27593914446081 is 18064441939572.

The square root of 27593914446081 is 5252991.

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

27593914446081 is a `hidden beast` number, since 2 + 7 + 5 + 9 + 3 + 9 + 14 + 4 + 4 + 608 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3001400327025 + 24592514119056 = 1732455^2 + 4959084^2 .

It is not a de Polignac number, because 27593914446081 - 2⁹ = 27593914445569 is a prime.

It is a super-2 number, since 2×27593914446081² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27593914446071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2158972911 + ... + 2158985691.

It is a 1-persistent number, because it is pandigital, but 2⋅27593914446081 = 55187828892162 is not.

Almost surely, 2^{27593914446081} is an apocalyptic number.

27593914446081 is the 5252991-st square number.

27593914446081 is the 2626496-th centered octagonal number.

It is an amenable number.

27593914446081 is a deficient number, since it is larger than the sum of its proper divisors (12560160682632).

27593914446081 is an frugal number, since it uses more digits than its factorization.

27593914446081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25842 (or 12921 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 27593914446081 in words is "twenty-seven trillion, five hundred ninety-three billion, nine hundred fourteen million, four hundred forty-six thousand, eighty-one".