25805209600 has 135 divisors (see below), whose sum is σ = 64250942581. Its totient is φ = 10280960000.

The previous prime is 25805209583. The next prime is 25805209601. The reversal of 25805209600 is 690250852.

It is a happy number.

The square root of 25805209600 is 160640.

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., 9289875456 + 16515334144 = 96384^2 + 128512^2 .

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 25805209600.

It is not an unprimeable number, because it can be changed into a prime (25805209601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102809475 + ... + 102809725.

Almost surely, 2^25805209600 is an apocalyptic number.

25805209600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25805209600 is the 160640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25805209600

25805209600 is an abundant number, since it is smaller than the sum of its proper divisors (38445732981).

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

25805209600 is an frugal number, since it uses more digits than its factorization.

25805209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 25805209600 in words is "twenty-five billion, eight hundred five million, two hundred nine thousand, six hundred".