71085975717312 has 224 divisors, whose sum is σ = 213986487545600. Its totient is φ = 23128372786176.

The previous prime is 71085975717283. The next prime is 71085975717319. The reversal of 71085975717312 is 21371757958017.

71085975717312 is a `hidden beast` number, since 7 + 1 + 0 + 8 + 59 + 7 + 571 + 7 + 3 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71085975717312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71085975717319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108081678 + ... + 108737394.

It is an arithmetic number, because the mean of its divisors is an integer number (955296819400).

Almost surely, 2^{71085975717312} is an apocalyptic number.

71085975717312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71085975717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106993243772800).

71085975717312 is an abundant number, since it is smaller than the sum of its proper divisors (142900511828288).

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

71085975717312 is a wasteful number, since it uses less digits than its factorization.

71085975717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657240 (or 657224 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 63.

The spelling of 71085975717312 in words is "seventy-one trillion, eighty-five billion, nine hundred seventy-five million, seven hundred seventeen thousand, three hundred twelve".