166053955200 has 768 divisors, whose sum is σ = 654053376000. Its totient is φ = 36229939200.

The previous prime is 166053955159. The next prime is 166053955213. The reversal of 166053955200 is 2559350661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164572296 + ... + 164573304.

It is an arithmetic number, because the mean of its divisors is an integer number (851632000).

Almost surely, 2^166053955200 is an apocalyptic number.

166053955200 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 166053955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327026688000).

166053955200 is an abundant number, since it is smaller than the sum of its proper divisors (487999420800).

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

166053955200 is a wasteful number, since it uses less digits than its factorization.

166053955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

It can be divided in two parts, 166053 and 955200, that added together give a triangular number (1121253 = T₁₄₉₇).

The spelling of 166053955200 in words is "one hundred sixty-six billion, fifty-three million, nine hundred fifty-five thousand, two hundred".