25782060725172 has 216 divisors, whose sum is σ = 68840197302240. Its totient is φ = 8134529673600.

The previous prime is 25782060725167. The next prime is 25782060725173. The reversal of 25782060725172 is 27152706028752.

25782060725172 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 2 + 0 + 607 + 25 + 1 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25782060725173) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6822453979 + ... + 6822457757.

It is an arithmetic number, because the mean of its divisors is an integer number (318704617140).

Almost surely, 2^{25782060725172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25782060725172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420098651120).

25782060725172 is an abundant number, since it is smaller than the sum of its proper divisors (43058136577068).

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

25782060725172 is a wasteful number, since it uses less digits than its factorization.

25782060725172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 25782060725172 in words is "twenty-five trillion, seven hundred eighty-two billion, sixty million, seven hundred twenty-five thousand, one hundred seventy-two".