25565751648 has 288 divisors, whose sum is σ = 78623921376. Its totient is φ = 7851147264.

The previous prime is 25565751599. The next prime is 25565751689. The reversal of 25565751648 is 84615756552.

25565751648 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 575 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 25565751594 and 25565751603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83275911 + ... + 83276217.

It is an arithmetic number, because the mean of its divisors is an integer number (272999727).

Almost surely, 2^25565751648 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 25565751648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39311960688).

25565751648 is an abundant number, since it is smaller than the sum of its proper divisors (53058169728).

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

25565751648 is a wasteful number, since it uses less digits than its factorization.

25565751648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 25565751648 in words is "twenty-five billion, five hundred sixty-five million, seven hundred fifty-one thousand, six hundred forty-eight".