25845316993440 has 1536 divisors, whose sum is σ = 119198241792000. Its totient is φ = 5085680173056.

The previous prime is 25845316993417. The next prime is 25845316993481. The reversal of 25845316993440 is 4439961354852.

It is a happy number.

25845316993440 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 531 + 6 + 9 + 93 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 283212459 + ... + 283303701.

It is an arithmetic number, because the mean of its divisors is an integer number (77603022000).

Almost surely, 2^{25845316993440} is an apocalyptic number.

25845316993440 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 25845316993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59599120896000).

25845316993440 is an abundant number, since it is smaller than the sum of its proper divisors (93352924798560).

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

25845316993440 is a wasteful number, since it uses less digits than its factorization.

25845316993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91339 (or 91325 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 25845316993440 in words is "twenty-five trillion, eight hundred forty-five billion, three hundred sixteen million, nine hundred ninety-three thousand, four hundred forty".