25735252608 has 320 divisors, whose sum is σ = 84508882920. Its totient is φ = 7723745280.

The previous prime is 25735252597. The next prime is 25735252633. The reversal of 25735252608 is 80625253752.

25735252608 is a `hidden beast` number, since 2 + 5 + 7 + 35 + 2 + 5 + 2 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5596236864 + 20139015744 = 74808^2 + 141912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5523816 + ... + 5528472.

Almost surely, 2^25735252608 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 25735252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42254441460).

25735252608 is an abundant number, since it is smaller than the sum of its proper divisors (58773630312).

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

25735252608 is a wasteful number, since it uses less digits than its factorization.

25735252608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 25735252608 in words is "twenty-five billion, seven hundred thirty-five million, two hundred fifty-two thousand, six hundred eight".