199017816480 has 672 divisors, whose sum is σ = 848122531200. Its totient is φ = 43092228096.

The previous prime is 199017816433. The next prime is 199017816497. The reversal of 199017816480 is 84618710991.

199017816480 is a `hidden beast` number, since 1 + 9 + 90 + 1 + 78 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 15506706 + ... + 15519534.

It is an arithmetic number, because the mean of its divisors is an integer number (1262087100).

Almost surely, 2^199017816480 is an apocalyptic number.

199017816480 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 199017816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424061265600).

199017816480 is an abundant number, since it is smaller than the sum of its proper divisors (649104714720).

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

199017816480 is a wasteful number, since it uses less digits than its factorization.

199017816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 199017816480 in words is "one hundred ninety-nine billion, seventeen million, eight hundred sixteen thousand, four hundred eighty".