27950564319198 has 16 divisors (see below), whose sum is σ = 55903246502400. Its totient is φ = 9316501795736.

The previous prime is 27950564319173. The next prime is 27950564319239. The reversal of 27950564319198 is 89191346505972.

It is a super-3 number, since 3×27950564319198³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88072740 + ... + 88389527.

It is an arithmetic number, because the mean of its divisors is an integer number (3493952906400).

It is a 1-persistent number, because it is pandigital, but 2⋅27950564319198 = 55901128638396 is not.

Almost surely, 2^{27950564319198} is an apocalyptic number.

27950564319198 is an abundant number, since it is smaller than the sum of its proper divisors (27952682183202).

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

27950564319198 is a wasteful number, since it uses less digits than its factorization.

27950564319198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176488671.

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 27950564319198 in words is "twenty-seven trillion, nine hundred fifty billion, five hundred sixty-four million, three hundred nineteen thousand, one hundred ninety-eight".