25834235904 has 576 divisors, whose sum is σ = 84283355520. Its totient is φ = 7882997760.

The previous prime is 25834235897. The next prime is 25834235923. The reversal of 25834235904 is 40953243852.

25834235904 is a `hidden beast` number, since 2 + 5 + 8 + 34 + 23 + 590 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25834235904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423512034 + ... + 423512094.

It is an arithmetic number, because the mean of its divisors is an integer number (146325270).

Almost surely, 2^25834235904 is an apocalyptic number.

25834235904 is a gapful number since it is divisible by the number (24) 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 25834235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141677760).

25834235904 is an abundant number, since it is smaller than the sum of its proper divisors (58449119616).

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

25834235904 is an equidigital number, since it uses as much as digits as its factorization.

25834235904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 25834235904 in words is "twenty-five billion, eight hundred thirty-four million, two hundred thirty-five thousand, nine hundred four".