25609371648 has 168 divisors, whose sum is σ = 78114680448. Its totient is φ = 7310671872.

The previous prime is 25609371647. The next prime is 25609371691. The reversal of 25609371648 is 84617390652.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 25609371648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25609371647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22019515 + ... + 22020677.

It is an arithmetic number, because the mean of its divisors is an integer number (464968336).

It is a 1-persistent number, because it is pandigital, but 2⋅25609371648 = 51218743296 is not.

Almost surely, 2^25609371648 is an apocalyptic number.

25609371648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25609371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39057340224).

25609371648 is an abundant number, since it is smaller than the sum of its proper divisors (52505308800).

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

25609371648 is an frugal number, since it uses more digits than its factorization.

25609371648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 25609371648 in words is "twenty-five billion, six hundred nine million, three hundred seventy-one thousand, six hundred forty-eight".