166751084160 has 160 divisors (see below), whose sum is σ = 595498414500. Its totient is φ = 44466941952.

The previous prime is 166751084147. The next prime is 166751084167. The reversal of 166751084160 is 61480157661.

166751084160 is a `hidden beast` number, since 1 + 66 + 75 + 108 + 416 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164375106624 + 2375977536 = 405432^2 + 48744^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (166751084167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1556485 + ... + 1660164.

Almost surely, 2^166751084160 is an apocalyptic number.

166751084160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166751084160 is an abundant number, since it is smaller than the sum of its proper divisors (428747330340).

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

166751084160 is an equidigital number, since it uses as much as digits as its factorization.

166751084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216680 (or 3216659 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 166751084160 in words is "one hundred sixty-six billion, seven hundred fifty-one million, eighty-four thousand, one hundred sixty".