166353956160 has 224 divisors, whose sum is σ = 603978707712. Its totient is φ = 38001623040.

The previous prime is 166353956147. The next prime is 166353956177. The reversal of 166353956160 is 61659353661.

166353956160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 13386750 + ... + 13399170.

Almost surely, 2^166353956160 is an apocalyptic number.

166353956160 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 166353956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989353856).

166353956160 is an abundant number, since it is smaller than the sum of its proper divisors (437624751552).

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

166353956160 is a wasteful number, since it uses less digits than its factorization.

166353956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14441 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 166353956160 in words is "one hundred sixty-six billion, three hundred fifty-three million, nine hundred fifty-six thousand, one hundred sixty".