25168793328 has 240 divisors, whose sum is σ = 82720747200. Its totient is φ = 6993838080.

The previous prime is 25168793323. The next prime is 25168793339. The reversal of 25168793328 is 82339786152.

25168793328 is a `hidden beast` number, since 2 + 516 + 8 + 7 + 93 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25168793323) 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 47 ways as a sum of consecutive naturals, for example, 16902408 + ... + 16903896.

It is an arithmetic number, because the mean of its divisors is an integer number (344669780).

Almost surely, 2^25168793328 is an apocalyptic number.

25168793328 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 25168793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41360373600).

25168793328 is an abundant number, since it is smaller than the sum of its proper divisors (57551953872).

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

25168793328 is a wasteful number, since it uses less digits than its factorization.

25168793328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1951 counting only the distinct ones).

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

The spelling of 25168793328 in words is "twenty-five billion, one hundred sixty-eight million, seven hundred ninety-three thousand, three hundred twenty-eight".