25168000032 has 144 divisors (see below), whose sum is σ = 82520605440. Its totient is φ = 7127156736.

The previous prime is 25168000021. The next prime is 25168000057. The reversal of 25168000032 is 23000086152.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25168000032² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172569 + ... + 283047.

It is an arithmetic number, because the mean of its divisors is an integer number (573059760).

Almost surely, 2^25168000032 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 25168000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41260302720).

25168000032 is an abundant number, since it is smaller than the sum of its proper divisors (57352605408).

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

25168000032 is a wasteful number, since it uses less digits than its factorization.

25168000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110615 (or 110604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 25168000032 its reverse (23000086152), we get a palindrome (48168086184).

The spelling of 25168000032 in words is "twenty-five billion, one hundred sixty-eight million, thirty-two", and thus it is an aban number.