25664442400 has 72 divisors (see below), whose sum is σ = 63228335940. Its totient is φ = 10171560960.

The previous prime is 25664442389. The next prime is 25664442403. The reversal of 25664442400 is 424446652.

It can be written as a sum of positive squares in 6 ways, for example, as 7758791056 + 17905651344 = 88084^2 + 133812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25664442400.

It is not an unprimeable number, because it can be changed into a prime (25664442403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59959 + ... + 234358.

Almost surely, 2^25664442400 is an apocalyptic number.

25664442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25664442400 is an abundant number, since it is smaller than the sum of its proper divisors (37563893540).

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

25664442400 is a wasteful number, since it uses less digits than its factorization.

25664442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294446 (or 294433 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 25664442400 in words is "twenty-five billion, six hundred sixty-four million, four hundred forty-two thousand, four hundred".