166292169120 has 1152 divisors, whose sum is σ = 739090759680. Its totient is φ = 33039360000.

The previous prime is 166292169067. The next prime is 166292169133. The reversal of 166292169120 is 21961292661.

166292169120 is a `hidden beast` number, since 1 + 6 + 629 + 2 + 1 + 6 + 9 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 347165041 + ... + 347165519.

It is an arithmetic number, because the mean of its divisors is an integer number (641571840).

Almost surely, 2^166292169120 is an apocalyptic number.

166292169120 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 166292169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369545379840).

166292169120 is an abundant number, since it is smaller than the sum of its proper divisors (572798590560).

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

166292169120 is a wasteful number, since it uses less digits than its factorization.

166292169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 166292169120 in words is "one hundred sixty-six billion, two hundred ninety-two million, one hundred sixty-nine thousand, one hundred twenty".