27998349662673 has 192 divisors, whose sum is σ = 48417665587200. Its totient is φ = 15424522122240.

The previous prime is 27998349662641. The next prime is 27998349662683. The reversal of 27998349662673 is 37626694389972.

27998349662673 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 8 + 3 + 496 + 62 + 67 + 3 = 666.

It is not a de Polignac number, because 27998349662673 - 2⁵ = 27998349662641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27998349662592 and 27998349662601.

It is not an unprimeable number, because it can be changed into a prime (27998349662683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7840476978 + ... + 7840480548.

It is an arithmetic number, because the mean of its divisors is an integer number (252175341600).

Almost surely, 2^{27998349662673} is an apocalyptic number.

27998349662673 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27998349662673 is a deficient number, since it is larger than the sum of its proper divisors (20419315924527).

27998349662673 is a wasteful number, since it uses less digits than its factorization.

27998349662673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5441 counting only the distinct ones).

The product of its digits is 8888527872, while the sum is 81.

The spelling of 27998349662673 in words is "twenty-seven trillion, nine hundred ninety-eight billion, three hundred forty-nine million, six hundred sixty-two thousand, six hundred seventy-three".