25687786529344 has 189 divisors, whose sum is σ = 54931665379147. Its totient is φ = 11916128616448.

The previous prime is 25687786529269. The next prime is 25687786529369. The reversal of 25687786529344 is 44392568778652.

It is a happy number.

The square root of 25687786529344 is 5068312.

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 4034473960000 + 21653312569344 = 2008600^2 + 4653312^2 .

It is a Duffinian number.

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, 57211105632 + ... + 57211106080.

Almost surely, 2^{25687786529344} is an apocalyptic number.

25687786529344 is the 5068312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25687786529344

25687786529344 is an abundant number, since it is smaller than the sum of its proper divisors (29243878849803).

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

25687786529344 is an frugal number, since it uses more digits than its factorization.

25687786529344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 551 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 76.

The spelling of 25687786529344 in words is "twenty-five trillion, six hundred eighty-seven billion, seven hundred eighty-six million, five hundred twenty-nine thousand, three hundred forty-four".