25436664288 has 288 divisors, whose sum is σ = 84223915776. Its totient is φ = 7132022784.

The previous prime is 25436664283. The next prime is 25436664293. The reversal of 25436664288 is 88246663452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25436664283) and next prime (25436664293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25436664283) 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, 45180295 + ... + 45180857.

It is an arithmetic number, because the mean of its divisors is an integer number (292444152).

Almost surely, 2^25436664288 is an apocalyptic number.

25436664288 is a gapful number since it is divisible by the number (28) 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 25436664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42111957888).

25436664288 is an abundant number, since it is smaller than the sum of its proper divisors (58787251488).

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

25436664288 is a wasteful number, since it uses less digits than its factorization.

25436664288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 25436664288 in words is "twenty-five billion, four hundred thirty-six million, six hundred sixty-four thousand, two hundred eighty-eight".