26085575619216 has 135 divisors (see below), whose sum is σ = 73261748543139. Its totient is φ = 8664527019456.

The previous prime is 26085575619163. The next prime is 26085575619449. The reversal of 26085575619216 is 61291657558062.

The square root of 26085575619216 is 5107404.

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

26085575619216 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 5 + 5 + 7 + 5 + 619 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23228472831 + ... + 23228473953.

Almost surely, 2^{26085575619216} is an apocalyptic number.

26085575619216 is the 5107404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26085575619216

26085575619216 is an abundant number, since it is smaller than the sum of its proper divisors (47176172923923).

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

26085575619216 is an frugal number, since it uses more digits than its factorization.

26085575619216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 26085575619216 in words is "twenty-six trillion, eighty-five billion, five hundred seventy-five million, six hundred nineteen thousand, two hundred sixteen".