26265225168 has 960 divisors, whose sum is σ = 101913477120. Its totient is φ = 6121267200.

The previous prime is 26265225143. The next prime is 26265225191. The reversal of 26265225168 is 86152256262.

It is a happy number.

26265225168 is a `hidden beast` number, since 2 + 6 + 265 + 225 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316448455 + ... + 316448537.

It is an arithmetic number, because the mean of its divisors is an integer number (106159872).

Almost surely, 2^26265225168 is an apocalyptic number.

26265225168 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 26265225168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50956738560).

26265225168 is an abundant number, since it is smaller than the sum of its proper divisors (75648251952).

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

26265225168 is a wasteful number, since it uses less digits than its factorization.

26265225168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 26265225168 in words is "twenty-six billion, two hundred sixty-five million, two hundred twenty-five thousand, one hundred sixty-eight".