25516009728 has 432 divisors, whose sum is σ = 84731092992. Its totient is φ = 7312896000.

The previous prime is 25516009709. The next prime is 25516009751. The reversal of 25516009728 is 82790061552.

25516009728 is a `hidden beast` number, since 2 + 551 + 6 + 0 + 0 + 97 + 2 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 36925863 + ... + 36926553.

Almost surely, 2^25516009728 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 25516009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42365546496).

25516009728 is an abundant number, since it is smaller than the sum of its proper divisors (59215083264).

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

25516009728 is a wasteful number, since it uses less digits than its factorization.

25516009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25516009728 in words is "twenty-five billion, five hundred sixteen million, nine thousand, seven hundred twenty-eight".