166954828394200 has 432 divisors, whose sum is σ = 496415427379200. Its totient is φ = 52028488512000.

The previous prime is 166954828394173. The next prime is 166954828394293. The reversal of 166954828394200 is 2493828459661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9712879206 + ... + 9712896394.

It is an arithmetic number, because the mean of its divisors is an integer number (1149109785600).

Almost surely, 2^{166954828394200} is an apocalyptic number.

166954828394200 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 166954828394200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248207713689600).

166954828394200 is an abundant number, since it is smaller than the sum of its proper divisors (329460598985000).

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

166954828394200 is a wasteful number, since it uses less digits than its factorization.

166954828394200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25432 (or 25405 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 166954828394200 in words is "one hundred sixty-six trillion, nine hundred fifty-four billion, eight hundred twenty-eight million, three hundred ninety-four thousand, two hundred".