25291350240 has 288 divisors, whose sum is σ = 86926815360. Its totient is φ = 6178019328.

The previous prime is 25291350233. The next prime is 25291350247. The reversal of 25291350240 is 4205319252.

It is an interprime number because it is at equal distance from previous prime (25291350233) and next prime (25291350247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25291350247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11274559 + ... + 11276801.

It is an arithmetic number, because the mean of its divisors is an integer number (301829220).

Almost surely, 2^25291350240 is an apocalyptic number.

25291350240 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 25291350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43463407680).

25291350240 is an abundant number, since it is smaller than the sum of its proper divisors (61635465120).

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

25291350240 is a wasteful number, since it uses less digits than its factorization.

25291350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 25291350240 its reverse (4205319252), we get a palindrome (29496669492).

The spelling of 25291350240 in words is "twenty-five billion, two hundred ninety-one million, three hundred fifty thousand, two hundred forty".