1600475117166 has 96 divisors (see below), whose sum is σ = 3664394173440. Its totient is φ = 504056649600.

The previous prime is 1600475117141. The next prime is 1600475117191. The reversal of 1600475117166 is 6617115740061.

1600475117166 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 4 + 7 + 511 + 71 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (1600475117141) and next prime (1600475117191).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60475645 + ... + 60502103.

It is an arithmetic number, because the mean of its divisors is an integer number (38170772640).

Almost surely, 2^{1600475117166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600475117166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832197086720).

1600475117166 is an abundant number, since it is smaller than the sum of its proper divisors (2063919056274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1600475117166 is a wasteful number, since it uses less digits than its factorization.

1600475117166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29062 (or 29059 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1600475117166 in words is "one trillion, six hundred billion, four hundred seventy-five million, one hundred seventeen thousand, one hundred sixty-six".