25922734208 has 216 divisors, whose sum is σ = 64000759095. Its totient is φ = 10426655232.

The previous prime is 25922734207. The next prime is 25922734261. The reversal of 25922734208 is 80243722952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 12961367104 + 12961367104 = 113848^2 + 113848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=113848.

It is a super-2 number, since 2×25922734208² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25922734207) 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 26 ways as a sum of consecutive naturals, for example, 242268491 + ... + 242268597.

Almost surely, 2^25922734208 is an apocalyptic number.

25922734208 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 25922734208

25922734208 is an abundant number, since it is smaller than the sum of its proper divisors (38078024887).

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

25922734208 is an equidigital number, since it uses as much as digits as its factorization.

25922734208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 25922734208 in words is "twenty-five billion, nine hundred twenty-two million, seven hundred thirty-four thousand, two hundred eight".