26001897768 has 192 divisors, whose sum is σ = 87912414720. Its totient is φ = 6744988800.

The previous prime is 26001897763. The next prime is 26001897799. The reversal of 26001897768 is 86779810062.

It is not an unprimeable number, because it can be changed into a prime (26001897763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5025823 + ... + 5030993.

It is an arithmetic number, because the mean of its divisors is an integer number (457877160).

Almost surely, 2^26001897768 is an apocalyptic number.

26001897768 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 26001897768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43956207360).

26001897768 is an abundant number, since it is smaller than the sum of its proper divisors (61910516952).

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

26001897768 is a wasteful number, since it uses less digits than its factorization.

26001897768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 26001897768 in words is "twenty-six billion, one million, eight hundred ninety-seven thousand, seven hundred sixty-eight".