166556160526401 has 32 divisors (see below), whose sum is σ = 249305548602240. Its totient is φ = 109888377480000.

The previous prime is 166556160526391. The next prime is 166556160526421. The reversal of 166556160526401 is 104625061655661.

166556160526401 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 5 + 6 + 1 + 605 + 26 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 166556160526401 - 2⁶ = 166556160526337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166556160526421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7764675 + ... + 19834376.

It is an arithmetic number, because the mean of its divisors is an integer number (7790798393820).

Almost surely, 2^{166556160526401} is an apocalyptic number.

It is an amenable number.

166556160526401 is a deficient number, since it is larger than the sum of its proper divisors (82749388075839).

166556160526401 is a wasteful number, since it uses less digits than its factorization.

166556160526401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27601374 (or 27601368 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 166556160526401 in words is "one hundred sixty-six trillion, five hundred fifty-six billion, one hundred sixty million, five hundred twenty-six thousand, four hundred one".