25428727296 has 480 divisors, whose sum is σ = 90084234240. Its totient is φ = 6739918848.

The previous prime is 25428727249. The next prime is 25428727307. The reversal of 25428727296 is 69272782452.

25428727296 is a `hidden beast` number, since 2 + 5 + 4 + 287 + 272 + 96 = 666.

It is a congruent number.

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, 43319515 + ... + 43320101.

It is an arithmetic number, because the mean of its divisors is an integer number (187675488).

Almost surely, 2^25428727296 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 25428727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042117120).

25428727296 is an abundant number, since it is smaller than the sum of its proper divisors (64655506944).

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

25428727296 is a wasteful number, since it uses less digits than its factorization.

25428727296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 25428727296 in words is "twenty-five billion, four hundred twenty-eight million, seven hundred twenty-seven thousand, two hundred ninety-six".