71876585616 has 320 divisors, whose sum is σ = 223761678336. Its totient is φ = 19626393600.

The previous prime is 71876585611. The next prime is 71876585639. The reversal of 71876585616 is 61658567817.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71876585616.

It is not an unprimeable number, because it can be changed into a prime (71876585611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26989501 + ... + 26992163.

Almost surely, 2^71876585616 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 71876585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111880839168).

71876585616 is an abundant number, since it is smaller than the sum of its proper divisors (151885092720).

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

71876585616 is a wasteful number, since it uses less digits than its factorization.

71876585616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 60.

The spelling of 71876585616 in words is "seventy-one billion, eight hundred seventy-six million, five hundred eighty-five thousand, six hundred sixteen".