27375416990208 has 180 divisors, whose sum is σ = 91906459895250. Its totient is φ = 7821547646976.

The previous prime is 27375416990197. The next prime is 27375416990209. The reversal of 27375416990208 is 80209961457372.

27375416990208 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 5 + 416 + 9 + 9 + 0 + 208 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25222412484864 + 2153004505344 = 5022192^2 + 1467312^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27375416990209) 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 17 ways as a sum of consecutive naturals, for example, 60395083 + ... + 60846666.

It is a 1-persistent number, because it is pandigital, but 2⋅27375416990208 = 54750833980416 is not.

Almost surely, 2^{27375416990208} is an apocalyptic number.

27375416990208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27375416990208 is an abundant number, since it is smaller than the sum of its proper divisors (64531042905042).

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

27375416990208 is a wasteful number, since it uses less digits than its factorization.

27375416990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121241787 (or 121241761 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27375416990208 in words is "twenty-seven trillion, three hundred seventy-five billion, four hundred sixteen million, nine hundred ninety thousand, two hundred eight".