199416634560 has 1680 divisors, whose sum is σ = 863894383968. Its totient is φ = 43356487680.

The previous prime is 199416634519. The next prime is 199416634561. The reversal of 199416634560 is 65436614991.

It is a happy number.

199416634560 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 16 + 63 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199416634497 and 199416634506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199416634561) 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 239 ways as a sum of consecutive naturals, for example, 2731734684 + ... + 2731734756.

Almost surely, 2^199416634560 is an apocalyptic number.

199416634560 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 199416634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431947191984).

199416634560 is an abundant number, since it is smaller than the sum of its proper divisors (664477749408).

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

199416634560 is a wasteful number, since it uses less digits than its factorization.

199416634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 199416634560 in words is "one hundred ninety-nine billion, four hundred sixteen million, six hundred thirty-four thousand, five hundred sixty".