71170541828352 has 108 divisors (see below), whose sum is σ = 205288561639980. Its totient is φ = 23713531674624.

The previous prime is 71170541828341. The next prime is 71170541828369. The reversal of 71170541828352 is 25382814507117.

71170541828352 is a `hidden beast` number, since 7 + 1 + 1 + 70 + 541 + 8 + 28 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16065218324736 + 55105323503616 = 4008144^2 + 7423296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021077 + ... + 11974292.

It is an arithmetic number, because the mean of its divisors is an integer number (1900820015185).

Almost surely, 2^{71170541828352} is an apocalyptic number.

71170541828352 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 71170541828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102644280819990).

71170541828352 is an abundant number, since it is smaller than the sum of its proper divisors (134118019811628).

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

71170541828352 is a wasteful number, since it uses less digits than its factorization.

71170541828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997768 (or 12997751 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 71170541828352 in words is "seventy-one trillion, one hundred seventy billion, five hundred forty-one million, eight hundred twenty-eight thousand, three hundred fifty-two".