25489890720 has 288 divisors, whose sum is σ = 99746494848. Its totient is φ = 5806577664.

The previous prime is 25489890707. The next prime is 25489890733. The reversal of 25489890720 is 2709898452.

25489890720 is a `hidden beast` number, since 2 + 5 + 489 + 8 + 90 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25489890707) and next prime (25489890733).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090442 + ... + 3098678.

It is an arithmetic number, because the mean of its divisors is an integer number (346341996).

Almost surely, 2^25489890720 is an apocalyptic number.

25489890720 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 25489890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49873247424).

25489890720 is an abundant number, since it is smaller than the sum of its proper divisors (74256604128).

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

25489890720 is a wasteful number, since it uses less digits than its factorization.

25489890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25489890720 in words is "twenty-five billion, four hundred eighty-nine million, eight hundred ninety thousand, seven hundred twenty".