197128429660800 has 2304 divisors, whose sum is σ = 832104561899520. Its totient is φ = 45615185510400.

The previous prime is 197128429660787. The next prime is 197128429660831. The reversal of 197128429660800 is 8066924821791.

197128429660800 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 284 + 296 + 60 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144205141717 + ... + 144205143083.

It is an arithmetic number, because the mean of its divisors is an integer number (361156493880).

Almost surely, 2^{197128429660800} is an apocalyptic number.

197128429660800 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 197128429660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416052280949760).

197128429660800 is an abundant number, since it is smaller than the sum of its proper divisors (634976132238720).

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

197128429660800 is a wasteful number, since it uses less digits than its factorization.

197128429660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 197128429660800 in words is "one hundred ninety-seven trillion, one hundred twenty-eight billion, four hundred twenty-nine million, six hundred sixty thousand, eight hundred".