71686028880 has 240 divisors, whose sum is σ = 248334886800. Its totient is φ = 18518188032.

The previous prime is 71686028837. The next prime is 71686028881. The reversal of 71686028880 is 8882068617.

It can be written as a sum of positive squares in 8 ways, for example, as 6145932816 + 65540096064 = 78396^2 + 256008^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71686028881) 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 47 ways as a sum of consecutive naturals, for example, 6201346 + ... + 6212894.

It is an arithmetic number, because the mean of its divisors is an integer number (1034728695).

Almost surely, 2^71686028880 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 71686028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124167443400).

71686028880 is an abundant number, since it is smaller than the sum of its proper divisors (176648857920).

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

71686028880 is a wasteful number, since it uses less digits than its factorization.

71686028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 71686028880 in words is "seventy-one billion, six hundred eighty-six million, twenty-eight thousand, eight hundred eighty".