25687097243536 has 135 divisors (see below), whose sum is σ = 53655233715513. Its totient is φ = 11910778859520.

The previous prime is 25687097243531. The next prime is 25687097243623. The reversal of 25687097243536 is 63534279078652.

The square root of 25687097243536 is 5068244.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2850167803536 + 22836929440000 = 1688244^2 + 4778800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25687097243531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25158762706 + ... + 25158763726.

Almost surely, 2^{25687097243536} is an apocalyptic number.

25687097243536 is the 5068244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25687097243536

25687097243536 is an abundant number, since it is smaller than the sum of its proper divisors (27968136471977).

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

25687097243536 is an frugal number, since it uses more digits than its factorization.

25687097243536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 67.

The spelling of 25687097243536 in words is "twenty-five trillion, six hundred eighty-seven billion, ninety-seven million, two hundred forty-three thousand, five hundred thirty-six".