25317901728 has 648 divisors, whose sum is σ = 91598768352. Its totient is φ = 6854512896.

The previous prime is 25317901711. The next prime is 25317901733. The reversal of 25317901728 is 82710971352.

25317901728 is a `hidden beast` number, since 2 + 531 + 7 + 90 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×25317901728² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 236615851 + ... + 236615957.

It is an arithmetic number, because the mean of its divisors is an integer number (141356124).

Almost surely, 2^25317901728 is an apocalyptic number.

25317901728 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 25317901728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45799384176).

25317901728 is an abundant number, since it is smaller than the sum of its proper divisors (66280866624).

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

25317901728 is an equidigital number, since it uses as much as digits as its factorization.

25317901728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 25317901728 in words is "twenty-five billion, three hundred seventeen million, nine hundred one thousand, seven hundred twenty-eight".