25709326235648 has 384 divisors, whose sum is σ = 58250949120000. Its totient is φ = 11243370577920.

The previous prime is 25709326235641. The next prime is 25709326235653. The reversal of 25709326235648 is 84653262390752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25709326235641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24508413428 + ... + 24508414476.

It is an arithmetic number, because the mean of its divisors is an integer number (151695180000).

Almost surely, 2^{25709326235648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25709326235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125474560000).

25709326235648 is an abundant number, since it is smaller than the sum of its proper divisors (32541622884352).

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

25709326235648 is a wasteful number, since it uses less digits than its factorization.

25709326235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 62.

The spelling of 25709326235648 in words is "twenty-five trillion, seven hundred nine billion, three hundred twenty-six million, two hundred thirty-five thousand, six hundred forty-eight".