166190304960 has 448 divisors, whose sum is σ = 601835890560. Its totient is φ = 43696889856.

The previous prime is 166190304953. The next prime is 166190304967. The reversal of 166190304960 is 69403091661.

166190304960 is a `hidden beast` number, since 16 + 61 + 90 + 3 + 0 + 496 + 0 = 666.

166190304960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166190304953) and next prime (166190304967).

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 (166190304967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51086694 + ... + 51089946.

Almost surely, 2^166190304960 is an apocalyptic number.

166190304960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166190304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300917945280).

166190304960 is an abundant number, since it is smaller than the sum of its proper divisors (435645585600).

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

166190304960 is an frugal number, since it uses more digits than its factorization.

166190304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 166190304960 in words is "one hundred sixty-six billion, one hundred ninety million, three hundred four thousand, nine hundred sixty".