25968273408 has 960 divisors, whose sum is σ = 102745843200. Its totient is φ = 6330286080.

The previous prime is 25968273403. The next prime is 25968273421. The reversal of 25968273408 is 80437286952.

25968273408 is a `hidden beast` number, since 2 + 5 + 96 + 82 + 73 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25968273403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242694091 + ... + 242694197.

It is an arithmetic number, because the mean of its divisors is an integer number (107026920).

Almost surely, 2^25968273408 is an apocalyptic number.

25968273408 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 25968273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51372921600).

25968273408 is an abundant number, since it is smaller than the sum of its proper divisors (76777569792).

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

25968273408 is a wasteful number, since it uses less digits than its factorization.

25968273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

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

The spelling of 25968273408 in words is "twenty-five billion, nine hundred sixty-eight million, two hundred seventy-three thousand, four hundred eight".