25838578304 has 128 divisors (see below), whose sum is σ = 66967879680. Its totient is φ = 9629199360.

The previous prime is 25838578301. The next prime is 25838578313. The reversal of 25838578304 is 40387583852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25838578301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169697 + ... + 283679.

It is an arithmetic number, because the mean of its divisors is an integer number (523186560).

Almost surely, 2^25838578304 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 25838578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33483939840).

25838578304 is an abundant number, since it is smaller than the sum of its proper divisors (41129301376).

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

25838578304 is a wasteful number, since it uses less digits than its factorization.

25838578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114038 (or 114026 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 25838578304 in words is "twenty-five billion, eight hundred thirty-eight million, five hundred seventy-eight thousand, three hundred four".