270355071168 has 1680 divisors, whose sum is σ = 1098752793600. Its totient is φ = 64900362240.

The previous prime is 270355071127. The next prime is 270355071197. The reversal of 270355071168 is 861170553072.

It is a happy number.

270355071168 is a `hidden beast` number, since 2 + 70 + 3 + 5 + 507 + 11 + 68 = 666.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1945000443 + ... + 1945000581.

It is an arithmetic number, because the mean of its divisors is an integer number (654019520).

Almost surely, 2^270355071168 is an apocalyptic number.

270355071168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270355071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549376396800).

270355071168 is an abundant number, since it is smaller than the sum of its proper divisors (828397722432).

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

270355071168 is a wasteful number, since it uses less digits than its factorization.

270355071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 270355071168 in words is "two hundred seventy billion, three hundred fifty-five million, seventy-one thousand, one hundred sixty-eight".