25259286240 has 288 divisors, whose sum is σ = 89811802080. Its totient is φ = 6704031744.

The previous prime is 25259286211. The next prime is 25259286253. The reversal of 25259286240 is 4268295252.

It is a happy number.

25259286240 is a `hidden beast` number, since 2 + 52 + 592 + 8 + 6 + 2 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8902102 + ... + 8904938.

It is an arithmetic number, because the mean of its divisors is an integer number (311846535).

Almost surely, 2^25259286240 is an apocalyptic number.

25259286240 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 25259286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44905901040).

25259286240 is an abundant number, since it is smaller than the sum of its proper divisors (64552515840).

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

25259286240 is a wasteful number, since it uses less digits than its factorization.

25259286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25259286240 in words is "twenty-five billion, two hundred fifty-nine million, two hundred eighty-six thousand, two hundred forty".