199965690000 has 600 divisors, whose sum is σ = 740426612640. Its totient is φ = 50222592000.

The previous prime is 199965689993. The next prime is 199965690047. The reversal of 199965690000 is 96569991.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×199965690000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 576269827 + ... + 576270173.

Almost surely, 2^199965690000 is an apocalyptic number.

199965690000 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 199965690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370213306320).

199965690000 is an abundant number, since it is smaller than the sum of its proper divisors (540460922640).

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

199965690000 is a wasteful number, since it uses less digits than its factorization.

199965690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 199965690000 in words is "one hundred ninety-nine billion, nine hundred sixty-five million, six hundred ninety thousand".