26471271960576 has 351 divisors, whose sum is σ = 77437033762023. Its totient is φ = 8712789442560.

The previous prime is 26471271960557. The next prime is 26471271960583. The reversal of 26471271960576 is 67506917217462.

The square root of 26471271960576 is 5145024.

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

26471271960576 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 1 + 2 + 7 + 19 + 605 + 7 + 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 26 ways as a sum of consecutive naturals, for example, 125456265111 + ... + 125456265321.

Almost surely, 2^{26471271960576} is an apocalyptic number.

26471271960576 is the 5145024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26471271960576

26471271960576 is an abundant number, since it is smaller than the sum of its proper divisors (50965761801447).

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

26471271960576 is an frugal number, since it uses more digits than its factorization.

26471271960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 26471271960576 in words is "twenty-six trillion, four hundred seventy-one billion, two hundred seventy-one million, nine hundred sixty thousand, five hundred seventy-six".