25936768800 has 216 divisors, whose sum is σ = 95436641664. Its totient is φ = 6615713280.

The previous prime is 25936768789. The next prime is 25936768807. The reversal of 25936768800 is 886763952.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25936768807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87289 + ... + 243911.

It is an arithmetic number, because the mean of its divisors is an integer number (441836304).

Almost surely, 2^25936768800 is an apocalyptic number.

25936768800 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 25936768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47718320832).

25936768800 is an abundant number, since it is smaller than the sum of its proper divisors (69499872864).

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

25936768800 is a wasteful number, since it uses less digits than its factorization.

25936768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156672 (or 156656 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25936768800 in words is "twenty-five billion, nine hundred thirty-six million, seven hundred sixty-eight thousand, eight hundred".