25305600 has 120 divisors (see below), whose sum is σ = 83722320. Its totient is φ = 6737920.

The previous prime is 25305593. The next prime is 25305601. The reversal of 25305600 is 650352.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (25305601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38071 + ... + 38729.

It is an arithmetic number, because the mean of its divisors is an integer number (697686).

Almost surely, 2^25305600 is an apocalyptic number.

25305600 is a gapful number since it is divisible by the number (20) 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 25305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41861160).

25305600 is an abundant number, since it is smaller than the sum of its proper divisors (58416720).

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

25305600 is an equidigital number, since it uses as much as digits as its factorization.

25305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 25305600 is about 5030.4671751240. The cubic root of 25305600 is about 293.5883915651.

Adding to 25305600 its reverse (650352), we get a palindrome (25955952).

The spelling of 25305600 in words is "twenty-five million, three hundred five thousand, six hundred".