199585579008 has 60 divisors (see below), whose sum is σ = 532212099440. Its totient is φ = 66528509952.

The previous prime is 199585578953. The next prime is 199585579087. The reversal of 199585579008 is 800975585991.

It is a happy number.

It is a super-2 number, since 2×199585579008² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199585579008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1981138 + ... + 2079441.

Almost surely, 2^199585579008 is an apocalyptic number.

It is an amenable number.

199585579008 is an abundant number, since it is smaller than the sum of its proper divisors (332626520432).

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

199585579008 is an frugal number, since it uses more digits than its factorization.

199585579008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060610 (or 4060584 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 66.

The spelling of 199585579008 in words is "one hundred ninety-nine billion, five hundred eighty-five million, five hundred seventy-nine thousand, eight".