25755840000 has 800 divisors, whose sum is σ = 104312609280. Its totient is φ = 6220800000.

The previous prime is 25755839969. The next prime is 25755840001. The reversal of 25755840000 is 4855752.

It is a happy number.

25755840000 is a `hidden beast` number, since 2 + 5 + 75 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25755840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95039865 + ... + 95040135.

Almost surely, 2^25755840000 is an apocalyptic number.

25755840000 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 25755840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52156304640).

25755840000 is an abundant number, since it is smaller than the sum of its proper divisors (78556769280).

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

25755840000 is an equidigital number, since it uses as much as digits as its factorization.

25755840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 25755840000 in words is "twenty-five billion, seven hundred fifty-five million, eight hundred forty thousand".