199967880960 has 216 divisors, whose sum is σ = 693296748144. Its totient is φ = 53214658560.

The previous prime is 199967880943. The next prime is 199967880967. The reversal of 199967880960 is 69088769991.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199967880967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5638644 + ... + 5673996.

Almost surely, 2^199967880960 is an apocalyptic number.

199967880960 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 199967880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346648374072).

199967880960 is an abundant number, since it is smaller than the sum of its proper divisors (493328867184).

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

199967880960 is a wasteful number, since it uses less digits than its factorization.

199967880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871 (or 35854 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 199967880960 in words is "one hundred ninety-nine billion, nine hundred sixty-seven million, eight hundred eighty thousand, nine hundred sixty".