71805506758968 has 128 divisors (see below), whose sum is σ = 185462179499520. Its totient is φ = 23150150438400.

The previous prime is 71805506758943. The next prime is 71805506758981. The reversal of 71805506758968 is 86985760550817.

It is a Cunningham number, because it is equal to 8473813²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 71805506758968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101332693 + ... + 102038843.

It is an arithmetic number, because the mean of its divisors is an integer number (1448923277340).

Almost surely, 2^{71805506758968} 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 71805506758968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92731089749760).

71805506758968 is an abundant number, since it is smaller than the sum of its proper divisors (113656672740552).

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

71805506758968 is a wasteful number, since it uses less digits than its factorization.

71805506758968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706877 (or 706873 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 75.

The spelling of 71805506758968 in words is "seventy-one trillion, eight hundred five billion, five hundred six million, seven hundred fifty-eight thousand, nine hundred sixty-eight".