166364352000 has 1920 divisors, whose sum is σ = 777543376896. Its totient is φ = 33454080000.

The previous prime is 166364351957. The next prime is 166364352019. The reversal of 166364352000 is 253463661.

166364352000 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 643 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5366591985 + ... + 5366592015.

Almost surely, 2^166364352000 is an apocalyptic number.

166364352000 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 166364352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388771688448).

166364352000 is an abundant number, since it is smaller than the sum of its proper divisors (611179024896).

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

166364352000 is an equidigital number, since it uses as much as digits as its factorization.

166364352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 166364352000 in words is "one hundred sixty-six billion, three hundred sixty-four million, three hundred fifty-two thousand".