199105828408080 has 320 divisors, whose sum is σ = 748203250141440. Its totient is φ = 48264981811200.

The previous prime is 199105828408073. The next prime is 199105828408121. The reversal of 199105828408080 is 80804828501991.

199105828408080 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 0 + 582 + 8 + 40 + 8 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199105828407999 and 199105828408017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381348484 + ... + 381870236.

It is an arithmetic number, because the mean of its divisors is an integer number (2338135156692).

Almost surely, 2^{199105828408080} is an apocalyptic number.

199105828408080 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 199105828408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374101625070720).

199105828408080 is an abundant number, since it is smaller than the sum of its proper divisors (549097421733360).

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

199105828408080 is a wasteful number, since it uses less digits than its factorization.

199105828408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537847 (or 537835 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 199105828408080 in words is "one hundred ninety-nine trillion, one hundred five billion, eight hundred twenty-eight million, four hundred eight thousand, eighty".