25096329216 has 432 divisors, whose sum is σ = 86710871520. Its totient is φ = 6967296000.

The previous prime is 25096329211. The next prime is 25096329229. The reversal of 25096329216 is 61292369052.

25096329216 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 632 + 9 + 2 + 1 + 6 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25096329211) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33416841 + ... + 33417591.

It is an arithmetic number, because the mean of its divisors is an integer number (200719610).

Almost surely, 2^25096329216 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 25096329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43355435760).

25096329216 is an abundant number, since it is smaller than the sum of its proper divisors (61614542304).

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

25096329216 is a wasteful number, since it uses less digits than its factorization.

25096329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 25096329216 in words is "twenty-five billion, ninety-six million, three hundred twenty-nine thousand, two hundred sixteen".