71541824256 has 216 divisors, whose sum is σ = 236188942080. Its totient is φ = 20401625088.

The previous prime is 71541824203. The next prime is 71541824267. The reversal of 71541824256 is 65242814517.

71541824256 is a `hidden beast` number, since 7 + 1 + 541 + 82 + 4 + 25 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9076125 + ... + 9084003.

Almost surely, 2^71541824256 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 71541824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118094471040).

71541824256 is an abundant number, since it is smaller than the sum of its proper divisors (164647117824).

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

71541824256 is a wasteful number, since it uses less digits than its factorization.

71541824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8454 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 71541824256 in words is "seventy-one billion, five hundred forty-one million, eight hundred twenty-four thousand, two hundred fifty-six".