25756900608 has 216 divisors, whose sum is σ = 71506870848. Its totient is φ = 8228864000.

The previous prime is 25756900601. The next prime is 25756900633. The reversal of 25756900608 is 80600965752.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25756900601) 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 23 ways as a sum of consecutive naturals, for example, 91661428 + ... + 91661708.

It is an arithmetic number, because the mean of its divisors is an integer number (331050328).

Almost surely, 2^25756900608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25756900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35753435424).

25756900608 is an abundant number, since it is smaller than the sum of its proper divisors (45749970240).

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

25756900608 is an equidigital number, since it uses as much as digits as its factorization.

25756900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 25756900608 in words is "twenty-five billion, seven hundred fifty-six million, nine hundred thousand, six hundred eight".