25641211648 has 144 divisors (see below), whose sum is σ = 57252031200. Its totient is φ = 11379916800.

The previous prime is 25641211643. The next prime is 25641211649. The reversal of 25641211648 is 84611214652.

It is a self number, because there is not a number n which added to its sum of digits gives 25641211648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25641211643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36577698 + ... + 36578398.

It is an arithmetic number, because the mean of its divisors is an integer number (397583550).

Almost surely, 2^25641211648 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 25641211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28626015600).

25641211648 is an abundant number, since it is smaller than the sum of its proper divisors (31610819552).

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

25641211648 is a wasteful number, since it uses less digits than its factorization.

25641211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The spelling of 25641211648 in words is "twenty-five billion, six hundred forty-one million, two hundred eleven thousand, six hundred forty-eight".