199579773120 has 896 divisors, whose sum is σ = 825856819200. Its totient is φ = 39682621440.

The previous prime is 199579773079. The next prime is 199579773161. The reversal of 199579773120 is 21377975991.

199579773120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199579773079) and next prime (199579773161).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142658181 + ... + 142659579.

It is an arithmetic number, because the mean of its divisors is an integer number (921715200).

Almost surely, 2^199579773120 is an apocalyptic number.

199579773120 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 199579773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412928409600).

199579773120 is an abundant number, since it is smaller than the sum of its proper divisors (626277046080).

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

199579773120 is a wasteful number, since it uses less digits than its factorization.

199579773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 7501410, while the sum is 60.

The spelling of 199579773120 in words is "one hundred ninety-nine billion, five hundred seventy-nine million, seven hundred seventy-three thousand, one hundred twenty".