25632000000 has 504 divisors, whose sum is σ = 93575950650. Its totient is φ = 6758400000.

The previous prime is 25631999983. The next prime is 25632000011. The reversal of 25632000000 is 23652.

It can be written as a sum of positive squares in 7 ways, for example, as 17780622336 + 7851377664 = 133344^2 + 88608^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999956 + ... + 288000044.

Almost surely, 2^25632000000 is an apocalyptic number.

25632000000 is a gapful number since it is divisible by the number (20) 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 25632000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46787975325).

25632000000 is an abundant number, since it is smaller than the sum of its proper divisors (67943950650).

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

25632000000 is an frugal number, since it uses more digits than its factorization.

25632000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 25632000000 its reverse (23652), we get a palindrome (25632023652).

The spelling of 25632000000 in words is "twenty-five billion, six hundred thirty-two million", and thus it is an aban number.