71281325808 has 400 divisors, whose sum is σ = 266096540160. Its totient is φ = 17875468800.

The previous prime is 71281325807. The next prime is 71281325831. The reversal of 71281325808 is 80852318217.

It is a super-3 number, since 3×71281325808³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71281325807) 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 79 ways as a sum of consecutive naturals, for example, 2881653 + ... + 2906283.

Almost surely, 2^71281325808 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 71281325808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133048270080).

71281325808 is an abundant number, since it is smaller than the sum of its proper divisors (194815214352).

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

71281325808 is a wasteful number, since it uses less digits than its factorization.

71281325808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24698 (or 24683 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 71281325808 in words is "seventy-one billion, two hundred eighty-one million, three hundred twenty-five thousand, eight hundred eight".