26217818880 has 576 divisors, whose sum is σ = 100133107200. Its totient is φ = 5771100160.

The previous prime is 26217818867. The next prime is 26217818881. The reversal of 26217818880 is 8881871262.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (26217818881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20823691 + ... + 20824949.

It is an arithmetic number, because the mean of its divisors is an integer number (173842200).

Almost surely, 2^26217818880 is an apocalyptic number.

26217818880 is a gapful number since it is divisible by the number (20) 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 26217818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50066553600).

26217818880 is an abundant number, since it is smaller than the sum of its proper divisors (73915288320).

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

26217818880 is a wasteful number, since it uses less digits than its factorization.

26217818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 26217818880 in words is "twenty-six billion, two hundred seventeen million, eight hundred eighteen thousand, eight hundred eighty".