25608416256 has 198 divisors, whose sum is σ = 75185122740. Its totient is φ = 8395149312.

The previous prime is 25608416231. The next prime is 25608416257. The reversal of 25608416256 is 65261480652.

25608416256 is a `hidden beast` number, since 2 + 5 + 608 + 4 + 16 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (25608416257) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41370315 + ... + 41370933.

Almost surely, 2^25608416256 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 25608416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592561370).

25608416256 is an abundant number, since it is smaller than the sum of its proper divisors (49576706484).

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

25608416256 is an equidigital number, since it uses as much as digits as its factorization.

25608416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25608416256 in words is "twenty-five billion, six hundred eight million, four hundred sixteen thousand, two hundred fifty-six".