25291867328 has 448 divisors, whose sum is σ = 68712161280. Its totient is φ = 8957952000.

The previous prime is 25291867313. The next prime is 25291867369. The reversal of 25291867328 is 82376819252.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (2903040) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 25291867328.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250414478 + ... + 250414578.

It is an arithmetic number, because the mean of its divisors is an integer number (153375360).

Almost surely, 2^25291867328 is an apocalyptic number.

25291867328 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 25291867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34356080640).

25291867328 is an abundant number, since it is smaller than the sum of its proper divisors (43420293952).

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

25291867328 is a wasteful number, since it uses less digits than its factorization.

25291867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 25291867328 in words is "twenty-five billion, two hundred ninety-one million, eight hundred sixty-seven thousand, three hundred twenty-eight".