71382855168 has 120 divisors (see below), whose sum is σ = 211041086256. Its totient is φ = 23213875200.

The previous prime is 71382855149. The next prime is 71382855169. The reversal of 71382855168 is 86155828317.

71382855168 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 28 + 551 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71382855169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 377843.

Almost surely, 2^71382855168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71382855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105520543128).

71382855168 is an abundant number, since it is smaller than the sum of its proper divisors (139658231088).

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

71382855168 is a wasteful number, since it uses less digits than its factorization.

71382855168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377896 (or 377877 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 71382855168 in words is "seventy-one billion, three hundred eighty-two million, eight hundred fifty-five thousand, one hundred sixty-eight".