25689481600 has 96 divisors (see below), whose sum is σ = 64658852640. Its totient is φ = 10081843200.

The previous prime is 25689481589. The next prime is 25689481607. The reversal of 25689481600 is 618498652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25689481607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93865 + ... + 245335.

It is an arithmetic number, because the mean of its divisors is an integer number (673529715).

Almost surely, 2^25689481600 is an apocalyptic number.

25689481600 is a gapful number since it is divisible by the number (20) 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 25689481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32329426320).

25689481600 is an abundant number, since it is smaller than the sum of its proper divisors (38969371040).

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

25689481600 is a wasteful number, since it uses less digits than its factorization.

25689481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151548 (or 151531 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 25689481600 in words is "twenty-five billion, six hundred eighty-nine million, four hundred eighty-one thousand, six hundred".