199986542505 has 48 divisors (see below), whose sum is σ = 367154395920. Its totient is φ = 100352507904.

The previous prime is 199986542473. The next prime is 199986542507. The reversal of 199986542505 is 505245689991.

199986542505 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 86 + 5 + 42 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 759112704 + 199227429801 = 27552^2 + 446349^2 .

It is not a de Polignac number, because 199986542505 - 2⁵ = 199986542473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199986542507) 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 47 ways as a sum of consecutive naturals, for example, 2383039 + ... + 2465531.

It is an arithmetic number, because the mean of its divisors is an integer number (7649049915).

Almost surely, 2^199986542505 is an apocalyptic number.

199986542505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199986542505 is a deficient number, since it is larger than the sum of its proper divisors (167167853415).

199986542505 is a wasteful number, since it uses less digits than its factorization.

199986542505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85690 (or 85687 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 199986542505 in words is "one hundred ninety-nine billion, nine hundred eighty-six million, five hundred forty-two thousand, five hundred five".