25195332096 has 320 divisors, whose sum is σ = 81834762240. Its totient is φ = 7590481920.

The previous prime is 25195332089. The next prime is 25195332101. The reversal of 25195332096 is 69023359152.

25195332096 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 533 + 20 + 96 = 666.

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 31 ways as a sum of consecutive naturals, for example, 33909901 + ... + 33910643.

It is an arithmetic number, because the mean of its divisors is an integer number (255733632).

Almost surely, 2^25195332096 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 25195332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40917381120).

25195332096 is an abundant number, since it is smaller than the sum of its proper divisors (56639430144).

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

25195332096 is a wasteful number, since it uses less digits than its factorization.

25195332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 25195332096 in words is "twenty-five billion, one hundred ninety-five million, three hundred thirty-two thousand, ninety-six".