26144886768 has 480 divisors, whose sum is σ = 96025282560. Its totient is φ = 5935887360.

The previous prime is 26144886767. The next prime is 26144886827. The reversal of 26144886768 is 86768844162.

It is a happy number.

It is a super-2 number, since 2×26144886768² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144886767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11866755 + ... + 11868957.

It is an arithmetic number, because the mean of its divisors is an integer number (200052672).

Almost surely, 2^26144886768 is an apocalyptic number.

26144886768 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 26144886768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48012641280).

26144886768 is an abundant number, since it is smaller than the sum of its proper divisors (69880395792).

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

26144886768 is a wasteful number, since it uses less digits than its factorization.

26144886768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2258 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 26144886768 in words is "twenty-six billion, one hundred forty-four million, eight hundred eighty-six thousand, seven hundred sixty-eight".