25704864000 has 720 divisors, whose sum is σ = 98153991936. Its totient is φ = 6676992000.

The previous prime is 25704863959. The next prime is 25704864007. The reversal of 25704864000 is 46840752.

25704864000 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 4 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25704864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121823895 + ... + 121824105.

Almost surely, 2^25704864000 is an apocalyptic number.

25704864000 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 25704864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49076995968).

25704864000 is an abundant number, since it is smaller than the sum of its proper divisors (72449127936).

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

25704864000 is an equidigital number, since it uses as much as digits as its factorization.

25704864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25704864000 in words is "twenty-five billion, seven hundred four million, eight hundred sixty-four thousand".