25782724900 has 27 divisors (see below), whose sum is σ = 55951997619. Its totient is φ = 10312447680.

The previous prime is 25782724873. The next prime is 25782724907. The reversal of 25782724900 is 942728752.

The square root of 25782724900 is 160570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 871784676 + 24910940224 = 29526^2 + 157832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25782724907) 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 8 ways as a sum of consecutive naturals, for example, 1597672 + ... + 1613728.

Almost surely, 2^25782724900 is an apocalyptic number.

25782724900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25782724900 is the 160570-th square number.

It is an amenable number.

25782724900 is an abundant number, since it is smaller than the sum of its proper divisors (30169272719).

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

25782724900 is an frugal number, since it uses more digits than its factorization.

25782724900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32128 (or 16064 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 25782724900 in words is "twenty-five billion, seven hundred eighty-two million, seven hundred twenty-four thousand, nine hundred".