166786800160 has 192 divisors, whose sum is σ = 433330974720. Its totient is φ = 60424842240.

The previous prime is 166786800079. The next prime is 166786800197. The reversal of 166786800160 is 61008687661.

It is a super-2 number, since 2×166786800160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7811259 + ... + 7832581.

It is an arithmetic number, because the mean of its divisors is an integer number (2256932160).

Almost surely, 2^166786800160 is an apocalyptic number.

166786800160 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 166786800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216665487360).

166786800160 is an abundant number, since it is smaller than the sum of its proper divisors (266544174560).

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

166786800160 is a wasteful number, since it uses less digits than its factorization.

166786800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21471 (or 21463 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 166786800160 in words is "one hundred sixty-six billion, seven hundred eighty-six million, eight hundred thousand, one hundred sixty".