166512093840 has 60 divisors (see below), whose sum is σ = 559203117564. Its totient is φ = 44403224832.

The previous prime is 166512093793. The next prime is 166512093863. The reversal of 166512093840 is 48390215661.

166512093840 is a `hidden beast` number, since 1 + 6 + 6 + 512 + 0 + 93 + 8 + 40 = 666.

166512093840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44059689216 + 122452404624 = 209904^2 + 349932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115632679 + ... + 115634118.

Almost surely, 2^166512093840 is an apocalyptic number.

166512093840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166512093840 is an abundant number, since it is smaller than the sum of its proper divisors (392691023724).

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

166512093840 is a wasteful number, since it uses less digits than its factorization.

166512093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231266816 (or 231266807 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 166512093840 in words is "one hundred sixty-six billion, five hundred twelve million, ninety-three thousand, eight hundred forty".