25288720128 has 576 divisors, whose sum is σ = 90066816000. Its totient is φ = 6846529536.

The previous prime is 25288720103. The next prime is 25288720169. The reversal of 25288720128 is 82102788252.

25288720128 is a `hidden beast` number, since 2 + 528 + 87 + 20 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 94009978 + ... + 94010246.

It is an arithmetic number, because the mean of its divisors is an integer number (156366000).

Almost surely, 2^25288720128 is an apocalyptic number.

25288720128 is a gapful number since it is divisible by the number (28) 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 25288720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45033408000).

25288720128 is an abundant number, since it is smaller than the sum of its proper divisors (64778095872).

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

25288720128 is a wasteful number, since it uses less digits than its factorization.

25288720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 25288720128 in words is "twenty-five billion, two hundred eighty-eight million, seven hundred twenty thousand, one hundred twenty-eight".