25734160728 has 224 divisors, whose sum is σ = 77247993600. Its totient is φ = 8009668800.

The previous prime is 25734160723. The next prime is 25734160831. The reversal of 25734160728 is 82706143752.

25734160728 is a `hidden beast` number, since 2 + 5 + 7 + 34 + 1 + 607 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25734160721) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 7865733 + ... + 7869003.

Almost surely, 2^25734160728 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 25734160728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38623996800).

25734160728 is an abundant number, since it is smaller than the sum of its proper divisors (51513832872).

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

25734160728 is a wasteful number, since it uses less digits than its factorization.

25734160728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 25734160728 in words is "twenty-five billion, seven hundred thirty-four million, one hundred sixty thousand, seven hundred twenty-eight".