25685532288 has 384 divisors, whose sum is σ = 84837851280. Its totient is φ = 7389315072.

The previous prime is 25685532283. The next prime is 25685532317. The reversal of 25685532288 is 88223558652.

25685532288 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 553 + 2 + 2 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3135104064 + 22550428224 = 55992^2 + 150168^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (25685532281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59319720 + ... + 59320152.

Almost surely, 2^25685532288 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 25685532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42418925640).

25685532288 is an abundant number, since it is smaller than the sum of its proper divisors (59152318992).

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

25685532288 is a wasteful number, since it uses less digits than its factorization.

25685532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 25685532288 in words is "twenty-five billion, six hundred eighty-five million, five hundred thirty-two thousand, two hundred eighty-eight".