25914008599968 has 192 divisors, whose sum is σ = 71803715518080. Its totient is φ = 8160619622400.

The previous prime is 25914008599961. The next prime is 25914008599979. The reversal of 25914008599968 is 86999580041952.

It is a self number, because there is not a number n which added to its sum of digits gives 25914008599968.

It is not an unprimeable number, because it can be changed into a prime (25914008599961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473413546 + ... + 2473424022.

It is an arithmetic number, because the mean of its divisors is an integer number (373977684990).

Almost surely, 2^{25914008599968} 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 25914008599968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35901857759040).

25914008599968 is an abundant number, since it is smaller than the sum of its proper divisors (45889706918112).

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

25914008599968 is a wasteful number, since it uses less digits than its factorization.

25914008599968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 75.

The spelling of 25914008599968 in words is "twenty-five trillion, nine hundred fourteen billion, eight million, five hundred ninety-nine thousand, nine hundred sixty-eight".