199942602720 has 960 divisors, whose sum is σ = 809075796480. Its totient is φ = 41309097984.

The previous prime is 199942602689. The next prime is 199942602731. The reversal of 199942602720 is 27206249991.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 503633562 + ... + 503633958.

It is an arithmetic number, because the mean of its divisors is an integer number (842787288).

Almost surely, 2^199942602720 is an apocalyptic number.

199942602720 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 199942602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404537898240).

199942602720 is an abundant number, since it is smaller than the sum of its proper divisors (609133193760).

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

199942602720 is a wasteful number, since it uses less digits than its factorization.

199942602720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 199942602720 in words is "one hundred ninety-nine billion, nine hundred forty-two million, six hundred two thousand, seven hundred twenty".