54066516605361 has 48 divisors (see below), whose sum is σ = 85693121579520. Its totient is φ = 32644994353920.

The previous prime is 54066516605351. The next prime is 54066516605441. The reversal of 54066516605361 is 16350661566045.

54066516605361 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 6 + 516 + 60 + 5 + 3 + 61 = 666.

It is not a de Polignac number, because 54066516605361 - 2¹³ = 54066516597169 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54066516605298 and 54066516605307.

It is not an unprimeable number, because it can be changed into a prime (54066516605351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3920161 + ... + 11113086.

It is an arithmetic number, because the mean of its divisors is an integer number (1785273366240).

Almost surely, 2^{54066516605361} is an apocalyptic number.

It is an amenable number.

54066516605361 is a deficient number, since it is larger than the sum of its proper divisors (31626604974159).

54066516605361 is a wasteful number, since it uses less digits than its factorization.

54066516605361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033846 (or 15033843 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 54066516605361 in words is "fifty-four trillion, sixty-six billion, five hundred sixteen million, six hundred five thousand, three hundred sixty-one".