25853211648 has 132 divisors (see below), whose sum is σ = 81437323968. Its totient is φ = 7834275840.

The previous prime is 25853211647. The next prime is 25853211679. The reversal of 25853211648 is 84611235852.

25853211648 is a `hidden beast` number, since 2 + 58 + 532 + 1 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25853211647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26136 + ... + 228887.

It is an arithmetic number, because the mean of its divisors is an integer number (616949424).

Almost surely, 2^25853211648 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 25853211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40718661984).

25853211648 is an abundant number, since it is smaller than the sum of its proper divisors (55584112320).

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

25853211648 is a wasteful number, since it uses less digits than its factorization.

25853211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255060 (or 255039 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 25853211648 in words is "twenty-five billion, eight hundred fifty-three million, two hundred eleven thousand, six hundred forty-eight".