25261267280 has 80 divisors (see below), whose sum is σ = 59666181120. Its totient is φ = 9944157696.

The previous prime is 25261267271. The next prime is 25261267289. The reversal of 25261267280 is 8276216252.

It is an interprime number because it is at equal distance from previous prime (25261267271) and next prime (25261267289).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25261267289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8772881 + ... + 8775759.

It is an arithmetic number, because the mean of its divisors is an integer number (745827264).

Almost surely, 2^25261267280 is an apocalyptic number.

25261267280 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 25261267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29833090560).

25261267280 is an abundant number, since it is smaller than the sum of its proper divisors (34404913840).

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

25261267280 is a wasteful number, since it uses less digits than its factorization.

25261267280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 25261267280 in words is "twenty-five billion, two hundred sixty-one million, two hundred sixty-seven thousand, two hundred eighty".