27899354961 has 45 divisors (see below), whose sum is σ = 42461428779. Its totient is φ = 18255820176.

The previous prime is 27899354953. The next prime is 27899354963. The reversal of 27899354961 is 16945399872.

The square root of 27899354961 is 167031.

It is a perfect power (a square), and thus also a powerful number.

27899354961 is a `hidden beast` number, since 2 + 7 + 89 + 9 + 3 + 549 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4808729025 + 23090625936 = 69345^2 + 151956^2 .

It is not a de Polignac number, because 27899354961 - 2³ = 27899354953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27899354963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100719555 + ... + 100719831.

Almost surely, 2^27899354961 is an apocalyptic number.

27899354961 is the 167031-st square number.

27899354961 is the 83516-th centered octagonal number.

It is an amenable number.

27899354961 is a deficient number, since it is larger than the sum of its proper divisors (14562073818).

27899354961 is an frugal number, since it uses more digits than its factorization.

27899354961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 347 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 27899354961 in words is "twenty-seven billion, eight hundred ninety-nine million, three hundred fifty-four thousand, nine hundred sixty-one".