540057065675211 has 192 divisors, whose sum is σ = 963411159859200. Its totient is φ = 284685969351168.

The previous prime is 540057065675201. The next prime is 540057065675219. The reversal of 540057065675211 is 112576560750045.

540057065675211 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 5 + 70 + 6 + 567 + 5 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 540057065675211 - 2¹¹ = 540057065673163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540057065675219) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35281697820 + ... + 35281713126.

It is an arithmetic number, because the mean of its divisors is an integer number (5017766457600).

Almost surely, 2^{540057065675211} is an apocalyptic number.

540057065675211 is a deficient number, since it is larger than the sum of its proper divisors (423354094183989).

540057065675211 is a wasteful number, since it uses less digits than its factorization.

540057065675211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20438 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 540057065675211 in words is "five hundred forty trillion, fifty-seven billion, sixty-five million, six hundred seventy-five thousand, two hundred eleven".