199272827601 has 12 divisors (see below), whose sum is σ = 287863330612. Its totient is φ = 132837104736.

The previous prime is 199272827581. The next prime is 199272827617. The reversal of 199272827601 is 106728272991.

199272827601 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 7 + 2 + 8 + 27 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185932577601 + 13340250000 = 431199^2 + 115500^2 .

It is not a de Polignac number, because 199272827601 - 2⁷ = 199272827473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199272827651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 842986 + ... + 1053171.

Almost surely, 2^199272827601 is an apocalyptic number.

It is an amenable number.

199272827601 is a deficient number, since it is larger than the sum of its proper divisors (88590503011).

199272827601 is a wasteful number, since it uses less digits than its factorization.

199272827601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907840 (or 1907837 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 199272827601 in words is "one hundred ninety-nine billion, two hundred seventy-two million, eight hundred twenty-seven thousand, six hundred one".