1166157585 has 48 divisors (see below), whose sum is σ = 2252914560. Its totient is φ = 554549760.

The previous prime is 1166157533. The next prime is 1166157611. The reversal of 1166157585 is 5857516611.

It is a happy number.

1166157585 is a `hidden beast` number, since 1 + 1 + 6 + 61 + 5 + 7 + 585 = 666.

It is not a de Polignac number, because 1166157585 - 2⁶ = 1166157521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1166157585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25581 + ... + 54650.

It is an arithmetic number, because the mean of its divisors is an integer number (46935720).

Almost surely, 2^1166157585 is an apocalyptic number.

1166157585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1166157585 is a deficient number, since it is larger than the sum of its proper divisors (1086756975).

1166157585 is a wasteful number, since it uses less digits than its factorization.

1166157585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80278 (or 80275 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 1166157585 is about 34149.0495475350. The cubic root of 1166157585 is about 1052.5734562431.

The spelling of 1166157585 in words is "one billion, one hundred sixty-six million, one hundred fifty-seven thousand, five hundred eighty-five".