25842555648 has 648 divisors, whose sum is σ = 96277158432. Its totient is φ = 6491308032.

The previous prime is 25842555619. The next prime is 25842555649. The reversal of 25842555648 is 84655524852.

25842555648 is a `hidden beast` number, since 2 + 5 + 8 + 42 + 5 + 556 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25842555594 and 25842555603.

It is not an unprimeable number, because it can be changed into a prime (25842555649) 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 71 ways as a sum of consecutive naturals, for example, 110912140 + ... + 110912372.

Almost surely, 2^25842555648 is an apocalyptic number.

25842555648 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 25842555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48138579216).

25842555648 is an abundant number, since it is smaller than the sum of its proper divisors (70434602784).

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

25842555648 is a wasteful number, since it uses less digits than its factorization.

25842555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 281 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 54.

The spelling of 25842555648 in words is "twenty-five billion, eight hundred forty-two million, five hundred fifty-five thousand, six hundred forty-eight".