25408545280 has 320 divisors, whose sum is σ = 66502529280. Its totient is φ = 9284419584.

The previous prime is 25408545271. The next prime is 25408545289. The reversal of 25408545280 is 8254580452.

It is an interprime number because it is at equal distance from previous prime (25408545271) and next prime (25408545289).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (25408545289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233105866 + ... + 233105974.

It is an arithmetic number, because the mean of its divisors is an integer number (207820404).

Almost surely, 2^25408545280 is an apocalyptic number.

25408545280 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 25408545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251264640).

25408545280 is an abundant number, since it is smaller than the sum of its proper divisors (41093984000).

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

25408545280 is a wasteful number, since it uses less digits than its factorization.

25408545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The spelling of 25408545280 in words is "twenty-five billion, four hundred eight million, five hundred forty-five thousand, two hundred eighty".