25888378752 has 192 divisors, whose sum is σ = 78779675520. Its totient is φ = 8146944000.

The previous prime is 25888378741. The next prime is 25888378759. The reversal of 25888378752 is 25787388852.

25888378752 is a `hidden beast` number, since 258 + 8 + 8 + 378 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 25888378752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25888378759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455352 + ... + 1473032.

It is an arithmetic number, because the mean of its divisors is an integer number (410310810).

Almost surely, 2^25888378752 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 25888378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39389837760).

25888378752 is an abundant number, since it is smaller than the sum of its proper divisors (52891296768).

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

25888378752 is a wasteful number, since it uses less digits than its factorization.

25888378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17773 (or 17758 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 25888378752 in words is "twenty-five billion, eight hundred eighty-eight million, three hundred seventy-eight thousand, seven hundred fifty-two".