199717056000 has 2560 divisors, whose sum is σ = 980508672000. Its totient is φ = 38817792000.

The previous prime is 199717055977. The next prime is 199717056017. The reversal of 199717056000 is 650717991.

199717056000 is a `hidden beast` number, since 19 + 9 + 7 + 1 + 70 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2528063961 + ... + 2528064039.

It is an arithmetic number, because the mean of its divisors is an integer number (383011200).

Almost surely, 2^199717056000 is an apocalyptic number.

199717056000 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 199717056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490254336000).

199717056000 is an abundant number, since it is smaller than the sum of its proper divisors (780791616000).

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

199717056000 is a wasteful number, since it uses less digits than its factorization.

199717056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 199717056000 in words is "one hundred ninety-nine billion, seven hundred seventeen million, fifty-six thousand".