25632288000 has 1440 divisors, whose sum is σ = 111117726720. Its totient is φ = 5806080000.

The previous prime is 25632287987. The next prime is 25632288007. The reversal of 25632288000 is 88223652.

25632288000 is a `hidden beast` number, since 256 + 322 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×25632288000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25632288007) 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 159 ways as a sum of consecutive naturals, for example, 826847985 + ... + 826848015.

It is an arithmetic number, because the mean of its divisors is an integer number (77165088).

Almost surely, 2^25632288000 is an apocalyptic number.

25632288000 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 25632288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558863360).

25632288000 is an abundant number, since it is smaller than the sum of its proper divisors (85485438720).

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

25632288000 is a wasteful number, since it uses less digits than its factorization.

25632288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25632288000 in words is "twenty-five billion, six hundred thirty-two million, two hundred eighty-eight thousand".