25725258240 has 960 divisors, whose sum is σ = 100313579520. Its totient is φ = 5595955200.

The previous prime is 25725258239. The next prime is 25725258241. The reversal of 25725258240 is 4285252752.

It is an interprime number because it is at equal distance from previous prime (25725258239) and next prime (25725258241).

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 25725258192 and 25725258201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25725258241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547345897 + ... + 547345943.

It is an arithmetic number, because the mean of its divisors is an integer number (104493312).

Almost surely, 2^25725258240 is an apocalyptic number.

25725258240 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 25725258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50156789760).

25725258240 is an abundant number, since it is smaller than the sum of its proper divisors (74588321280).

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

25725258240 is a wasteful number, since it uses less digits than its factorization.

25725258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 25725258240 in words is "twenty-five billion, seven hundred twenty-five million, two hundred fifty-eight thousand, two hundred forty".