199566053316 has 120 divisors (see below), whose sum is σ = 596371480320. Its totient is φ = 57005762688.

The previous prime is 199566053303. The next prime is 199566053317. The reversal of 199566053316 is 613350665991.

199566053316 is a `hidden beast` number, since 1 + 9 + 95 + 6 + 6 + 0 + 533 + 16 = 666.

199566053316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199566053316² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (199566053317) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14347221 + ... + 14361123.

It is an arithmetic number, because the mean of its divisors is an integer number (4969762336).

Almost surely, 2^199566053316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199566053316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298185740160).

199566053316 is an abundant number, since it is smaller than the sum of its proper divisors (396805427004).

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

199566053316 is a wasteful number, since it uses less digits than its factorization.

199566053316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20255 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 199566053316 in words is "one hundred ninety-nine billion, five hundred sixty-six million, fifty-three thousand, three hundred sixteen".