25982508672 has 192 divisors, whose sum is σ = 77828456160. Its totient is φ = 8628249600.

The previous prime is 25982508667. The next prime is 25982508731. The reversal of 25982508672 is 27680528952.

It is a happy number.

25982508672 is a `hidden beast` number, since 2 + 59 + 82 + 508 + 6 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9112047 + ... + 9114897.

Almost surely, 2^25982508672 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 25982508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38914228080).

25982508672 is an abundant number, since it is smaller than the sum of its proper divisors (51845947488).

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

25982508672 is an equidigital number, since it uses as much as digits as its factorization.

25982508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 25982508672 in words is "twenty-five billion, nine hundred eighty-two million, five hundred eight thousand, six hundred seventy-two".