25682835719440 has 640 divisors, whose sum is σ = 71592629207040. Its totient is φ = 8492703842304.

The previous prime is 25682835719339. The next prime is 25682835719449. The reversal of 25682835719440 is 4491753828652.

It is not an unprimeable number, because it can be changed into a prime (25682835719449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6223122657 + ... + 6223126783.

It is an arithmetic number, because the mean of its divisors is an integer number (111863483136).

It is a 1-persistent number, because it is pandigital, but 2⋅25682835719440 = 51365671438880 is not.

Almost surely, 2^{25682835719440} is an apocalyptic number.

25682835719440 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 25682835719440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35796314603520).

25682835719440 is an abundant number, since it is smaller than the sum of its proper divisors (45909793487600).

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

25682835719440 is a wasteful number, since it uses less digits than its factorization.

25682835719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

The spelling of 25682835719440 in words is "twenty-five trillion, six hundred eighty-two billion, eight hundred thirty-five million, seven hundred nineteen thousand, four hundred forty".