25409943216 has 160 divisors (see below), whose sum is σ = 85294302720. Its totient is φ = 7091110656.

The previous prime is 25409943187. The next prime is 25409943217. The reversal of 25409943216 is 61234990452.

25409943216 is a `hidden beast` number, since 2 + 540 + 9 + 94 + 3 + 2 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (25409943217) 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 31 ways as a sum of consecutive naturals, for example, 32326 + ... + 227738.

It is an arithmetic number, because the mean of its divisors is an integer number (533089392).

Almost surely, 2^25409943216 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 25409943216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42647151360).

25409943216 is an abundant number, since it is smaller than the sum of its proper divisors (59884359504).

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

25409943216 is a wasteful number, since it uses less digits than its factorization.

25409943216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195480 (or 195468 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 25409943216 in words is "twenty-five billion, four hundred nine million, nine hundred forty-three thousand, two hundred sixteen".