199341252771840 has 1280 divisors, whose sum is σ = 769829331363840. Its totient is φ = 49203920240640.

The previous prime is 199341252771799. The next prime is 199341252771853. The reversal of 199341252771840 is 48177252143991.

199341252771840 is a `hidden beast` number, since 1 + 9 + 9 + 34 + 1 + 2 + 527 + 71 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9462240987 + ... + 9462262053.

It is an arithmetic number, because the mean of its divisors is an integer number (601429165128).

Almost surely, 2^{199341252771840} is an apocalyptic number.

199341252771840 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 199341252771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384914665681920).

199341252771840 is an abundant number, since it is smaller than the sum of its proper divisors (570488078592000).

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

199341252771840 is an equidigital number, since it uses as much as digits as its factorization.

199341252771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21168 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 199341252771840 in words is "one hundred ninety-nine trillion, three hundred forty-one billion, two hundred fifty-two million, seven hundred seventy-one thousand, eight hundred forty".