25089816960 has 512 divisors, whose sum is σ = 97181683200. Its totient is φ = 6080126976.

The previous prime is 25089816937. The next prime is 25089817001. The reversal of 25089816960 is 6961898052.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 25089816897 and 25089816906.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15050047 + ... + 15051713.

It is an arithmetic number, because the mean of its divisors is an integer number (189807975).

Almost surely, 2^25089816960 is an apocalyptic number.

25089816960 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 25089816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48590841600).

25089816960 is an abundant number, since it is smaller than the sum of its proper divisors (72091866240).

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

25089816960 is a wasteful number, since it uses less digits than its factorization.

25089816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 25089816960 in words is "twenty-five billion, eighty-nine million, eight hundred sixteen thousand, nine hundred sixty".