25670763601728 has 448 divisors, whose sum is σ = 80266990583808. Its totient is φ = 7088279224320.

The previous prime is 25670763601711. The next prime is 25670763601741. The reversal of 25670763601728 is 82710636707652.

It is a happy number.

25670763601728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5199666076 + ... + 5199671012.

It is an arithmetic number, because the mean of its divisors is an integer number (179167389696).

Almost surely, 2^{25670763601728} is an apocalyptic number.

25670763601728 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 25670763601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40133495291904).

25670763601728 is an abundant number, since it is smaller than the sum of its proper divisors (54596226982080).

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

25670763601728 is a wasteful number, since it uses less digits than its factorization.

25670763601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 25670763601728 in words is "twenty-five trillion, six hundred seventy billion, seven hundred sixty-three million, six hundred one thousand, seven hundred twenty-eight".