25795011896641 has 27 divisors (see below), whose sum is σ = 28709914499721. Its totient is φ = 23165051536224.

The previous prime is 25795011896617. The next prime is 25795011896657. The reversal of 25795011896641 is 14669811059752.

The square root of 25795011896641 is 5078879.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107144274241 + 25687867622400 = 327329^2 + 5068320^2 .

It is not a de Polignac number, because 25795011896641 - 2¹¹ = 25795011894593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25795014896641) 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, 2442935520 + ... + 2442946078.

Almost surely, 2^{25795011896641} is an apocalyptic number.

25795011896641 is the 5078879-th square number.

25795011896641 is the 2539440-th centered octagonal number.

It is an amenable number.

25795011896641 is a deficient number, since it is larger than the sum of its proper divisors (2914902603080).

25795011896641 is an frugal number, since it uses more digits than its factorization.

25795011896641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 64.

The spelling of 25795011896641 in words is "twenty-five trillion, seven hundred ninety-five billion, eleven million, eight hundred ninety-six thousand, six hundred forty-one".