25894745561344 has 243 divisors, whose sum is σ = 58900208505411. Its totient is φ = 11353066475520.

The previous prime is 25894745561317. The next prime is 25894745561389. The reversal of 25894745561344 is 44316554749852.

It is a happy number.

The square root of 25894745561344 is 5088688.

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 4449399609600 + 21445345951744 = 2109360^2 + 4630912^2 .

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 25894745561344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25972663054 + ... + 25972664050.

Almost surely, 2^{25894745561344} is an apocalyptic number.

25894745561344 is the 5088688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25894745561344

25894745561344 is an abundant number, since it is smaller than the sum of its proper divisors (33005462944067).

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

25894745561344 is an frugal number, since it uses more digits than its factorization.

25894745561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1039 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 67.

The spelling of 25894745561344 in words is "twenty-five trillion, eight hundred ninety-four billion, seven hundred forty-five million, five hundred sixty-one thousand, three hundred forty-four".