25580803600 has 135 divisors (see below), whose sum is σ = 67645924941. Its totient is φ = 9289315200.

The previous prime is 25580803561. The next prime is 25580803607. The reversal of 25580803600 is 630808552.

The square root of 25580803600 is 159940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9209089296 + 16371714304 = 95964^2 + 127952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25580803600.

It is not an unprimeable number, because it can be changed into a prime (25580803607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35186437 + ... + 35187163.

Almost surely, 2^25580803600 is an apocalyptic number.

25580803600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25580803600 is the 159940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25580803600

25580803600 is an abundant number, since it is smaller than the sum of its proper divisors (42065121341).

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

25580803600 is an equidigital number, since it uses as much as digits as its factorization.

25580803600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 25580803600 in words is "twenty-five billion, five hundred eighty million, eight hundred three thousand, six hundred".