166004193628800 has 576 divisors, whose sum is σ = 627534265325760. Its totient is φ = 41640569241600.

The previous prime is 166004193628799. The next prime is 166004193628879. The reversal of 166004193628800 is 8826391400661.

166004193628800 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 0 + 4 + 1 + 9 + 3 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886571989 + ... + 886759211.

It is an arithmetic number, because the mean of its divisors is an integer number (1089469210635).

Almost surely, 2^{166004193628800} is an apocalyptic number.

166004193628800 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 166004193628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313767132662880).

166004193628800 is an abundant number, since it is smaller than the sum of its proper divisors (461530071696960).

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

166004193628800 is a wasteful number, since it uses less digits than its factorization.

166004193628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189081 (or 189061 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 166004193628800 in words is "one hundred sixty-six trillion, four billion, one hundred ninety-three million, six hundred twenty-eight thousand, eight hundred".