25934109216768 has 832 divisors, whose sum is σ = 82164772864000. Its totient is φ = 8060436873216.

The previous prime is 25934109216739. The next prime is 25934109216779. The reversal of 25934109216768 is 86761290143952.

25934109216768 is a `hidden beast` number, since 2 + 5 + 9 + 341 + 0 + 9 + 216 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41896783563 + ... + 41896784181.

It is a 1-persistent number, because it is pandigital, but 2⋅25934109216768 = 51868218433536 is not.

Almost surely, 2^{25934109216768} 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 25934109216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41082386432000).

25934109216768 is an abundant number, since it is smaller than the sum of its proper divisors (56230663647232).

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

25934109216768 is a wasteful number, since it uses less digits than its factorization.

25934109216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 25934109216768 in words is "twenty-five trillion, nine hundred thirty-four billion, one hundred nine million, two hundred sixteen thousand, seven hundred sixty-eight".