27011417957001 has 27 divisors (see below), whose sum is σ = 39690349217389. Its totient is φ = 17701795327992.

The previous prime is 27011417956987. The next prime is 27011417957003. The reversal of 27011417957001 is 10075971411072.

The square root of 27011417957001 is 5197251.

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

27011417957001 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 1 + 4 + 1 + 79 + 570 + 0 + 1 = 666.

It is not a de Polignac number, because 27011417957001 - 2⁵ = 27011417956969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27011417957003) 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, 919898746 + ... + 919928108.

Almost surely, 2^{27011417957001} is an apocalyptic number.

27011417957001 is the 5197251-st square number.

27011417957001 is the 2598626-th centered octagonal number.

It is an amenable number.

27011417957001 is a deficient number, since it is larger than the sum of its proper divisors (12678931260388).

27011417957001 is an frugal number, since it uses more digits than its factorization.

27011417957001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58850 (or 29425 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The spelling of 27011417957001 in words is "twenty-seven trillion, eleven billion, four hundred seventeen million, nine hundred fifty-seven thousand, one".