25405705728 has 200 divisors, whose sum is σ = 81664101288. Its totient is φ = 7816974336.

The previous prime is 25405705697. The next prime is 25405705747. The reversal of 25405705728 is 82750750452.

25405705728 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 5 + 70 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515575 + ... + 562697.

Almost surely, 2^25405705728 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 25405705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40832050644).

25405705728 is an abundant number, since it is smaller than the sum of its proper divisors (56258395560).

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

25405705728 is an equidigital number, since it uses as much as digits as its factorization.

25405705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47166 (or 47141 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 25405705728 in words is "twenty-five billion, four hundred five million, seven hundred five thousand, seven hundred twenty-eight".