71965608503616 has 336 divisors, whose sum is σ = 221277688894080. Its totient is φ = 22282341580800.

The previous prime is 71965608503557. The next prime is 71965608503687. The reversal of 71965608503616 is 61630580656917.

71965608503616 is a `hidden beast` number, since 7 + 1 + 9 + 6 + 5 + 6 + 0 + 8 + 5 + 0 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340881291 + ... + 341092341.

It is an arithmetic number, because the mean of its divisors is an integer number (658564550280).

Almost surely, 2^{71965608503616} 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 71965608503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110638844447040).

71965608503616 is an abundant number, since it is smaller than the sum of its proper divisors (149312080390464).

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

71965608503616 is a wasteful number, since it uses less digits than its factorization.

71965608503616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211542 (or 211529 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 71965608503616 in words is "seventy-one trillion, nine hundred sixty-five billion, six hundred eight million, five hundred three thousand, six hundred sixteen".