25668723168 has 216 divisors, whose sum is σ = 82826347968. Its totient is φ = 7527168000.

The previous prime is 25668723149. The next prime is 25668723187. The reversal of 25668723168 is 86132786652.

25668723168 is a `hidden beast` number, since 2 + 566 + 8 + 72 + 3 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25668723149) and next prime (25668723187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1068408 + ... + 1092168.

Almost surely, 2^25668723168 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 25668723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41413173984).

25668723168 is an abundant number, since it is smaller than the sum of its proper divisors (57157624800).

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

25668723168 is a wasteful number, since it uses less digits than its factorization.

25668723168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830 (or 23808 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 25668723168 in words is "twenty-five billion, six hundred sixty-eight million, seven hundred twenty-three thousand, one hundred sixty-eight".