25906960394168 has 160 divisors (see below), whose sum is σ = 59693298624000. Its totient is φ = 10511092751040.

The previous prime is 25906960394093. The next prime is 25906960394173. The reversal of 25906960394168 is 86149306960952.

It is a junction number, because it is equal to n+sod(n) for n = 25906960394098 and 25906960394107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 525141263 + ... + 525190593.

It is an arithmetic number, because the mean of its divisors is an integer number (373083116400).

Almost surely, 2^{25906960394168} is an apocalyptic number.

25906960394168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25906960394168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29846649312000).

25906960394168 is an abundant number, since it is smaller than the sum of its proper divisors (33786338229832).

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

25906960394168 is a wasteful number, since it uses less digits than its factorization.

25906960394168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50823 (or 50798 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 68.

The spelling of 25906960394168 in words is "twenty-five trillion, nine hundred six billion, nine hundred sixty million, three hundred ninety-four thousand, one hundred sixty-eight".