71563551860736 has 480 divisors, whose sum is σ = 230307768610920. Its totient is φ = 22009021857792.

The previous prime is 71563551860629. The next prime is 71563551860741. The reversal of 71563551860736 is 63706815536517.

It is a happy number.

71563551860736 is a `hidden beast` number, since 7 + 1 + 5 + 6 + 3 + 5 + 5 + 18 + 607 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28495098086400 + 43068453774336 = 5338080^2 + 6562656^2 .

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 39 ways as a sum of consecutive naturals, for example, 5341752790 + ... + 5341766186.

Almost surely, 2^{71563551860736} 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 71563551860736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153884305460).

71563551860736 is an abundant number, since it is smaller than the sum of its proper divisors (158744216750184).

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

71563551860736 is a wasteful number, since it uses less digits than its factorization.

71563551860736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15921 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 71563551860736 in words is "seventy-one trillion, five hundred sixty-three billion, five hundred fifty-one million, eight hundred sixty thousand, seven hundred thirty-six".