199442782973280 has 384 divisors, whose sum is σ = 786033968541696. Its totient is φ = 41296213555200.

The previous prime is 199442782973233. The next prime is 199442782973297. The reversal of 199442782973280 is 82379287244991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925795 + ... + 19993565.

It is an arithmetic number, because the mean of its divisors is an integer number (2046963459744).

Almost surely, 2^{199442782973280} is an apocalyptic number.

199442782973280 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 199442782973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393016984270848).

199442782973280 is an abundant number, since it is smaller than the sum of its proper divisors (586591185568416).

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

199442782973280 is a wasteful number, since it uses less digits than its factorization.

199442782973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19068090 (or 19068082 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 199442782973280 in words is "one hundred ninety-nine trillion, four hundred forty-two billion, seven hundred eighty-two million, nine hundred seventy-three thousand, two hundred eighty".