71271888983824 has 225 divisors, whose sum is σ = 150321272590377. Its totient is φ = 32736008549376.

The previous prime is 71271888983809. The next prime is 71271888983851. The reversal of 71271888983824 is 42838988817217.

The square root of 71271888983824 is 8442268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4524983824 + 71267364000000 = 67268^2 + 8442000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 653870541082 + ... + 653870541190.

Almost surely, 2^{71271888983824} is an apocalyptic number.

71271888983824 is the 8442268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71271888983824

71271888983824 is an abundant number, since it is smaller than the sum of its proper divisors (79049383606553).

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

71271888983824 is an frugal number, since it uses more digits than its factorization.

71271888983824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 195 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 76.

The spelling of 71271888983824 in words is "seventy-one trillion, two hundred seventy-one billion, eight hundred eighty-eight million, nine hundred eighty-three thousand, eight hundred twenty-four".