66057115072167 has 48 divisors (see below), whose sum is σ = 98333025991200. Its totient is φ = 42711812222976.

The previous prime is 66057115072133. The next prime is 66057115072213. The reversal of 66057115072167 is 76127051175066.

66057115072167 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 71 + 1 + 507 + 2 + 1 + 67 = 666.

It is not a de Polignac number, because 66057115072167 - 2³² = 66052820104871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66057115272167) 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, 38819584 + ... + 40485482.

It is an arithmetic number, because the mean of its divisors is an integer number (2048604708150).

Almost surely, 2^{66057115072167} is an apocalyptic number.

66057115072167 is a deficient number, since it is larger than the sum of its proper divisors (32275910919033).

66057115072167 is a wasteful number, since it uses less digits than its factorization.

66057115072167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666912 (or 1666909 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 66057115072167 in words is "sixty-six trillion, fifty-seven billion, one hundred fifteen million, seventy-two thousand, one hundred sixty-seven".