199830505680 has 280 divisors, whose sum is σ = 750176938728. Its totient is φ = 49188860928.

The previous prime is 199830505673. The next prime is 199830505681. The reversal of 199830505680 is 86505038991.

It is a happy number.

199830505680 is a `hidden beast` number, since 19 + 98 + 30 + 505 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8889472656 + 190941033024 = 94284^2 + 436968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199830505681) 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 55 ways as a sum of consecutive naturals, for example, 626374 + ... + 889946.

Almost surely, 2^199830505680 is an apocalyptic number.

199830505680 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 199830505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375088469364).

199830505680 is an abundant number, since it is smaller than the sum of its proper divisors (550346433048).

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

199830505680 is a wasteful number, since it uses less digits than its factorization.

199830505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263617 (or 263596 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 199830505680 in words is "one hundred ninety-nine billion, eight hundred thirty million, five hundred five thousand, six hundred eighty".