25361296000000 has 231 divisors, whose sum is σ = 63421844967337. Its totient is φ = 10136460800000.

The previous prime is 25361295999841. The next prime is 25361296000013. The reversal of 25361296000000 is 69216352.

The square root of 25361296000000 is 5036000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 22218929980416 + 3142366019584 = 4713696^2 + 1772672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25361296000000.

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 20 ways as a sum of consecutive naturals, for example, 20143999371 + ... + 20144000629.

Almost surely, 2^{25361296000000} is an apocalyptic number.

25361296000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25361296000000 is the 5036000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25361296000000

25361296000000 is an abundant number, since it is smaller than the sum of its proper divisors (38060548967337).

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

25361296000000 is an frugal number, since it uses more digits than its factorization.

25361296000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 25361296000000 in words is "twenty-five trillion, three hundred sixty-one billion, two hundred ninety-six million", and thus it is an aban number.