26789222880 has 1152 divisors, whose sum is σ = 120046510080. Its totient is φ = 5441126400.

The previous prime is 26789222861. The next prime is 26789222893. The reversal of 26789222880 is 8822298762.

26789222880 is a `hidden beast` number, since 267 + 89 + 2 + 228 + 80 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653395660 + ... + 653395700.

It is an arithmetic number, because the mean of its divisors is an integer number (104207040).

Almost surely, 2^26789222880 is an apocalyptic number.

26789222880 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 26789222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023255040).

26789222880 is an abundant number, since it is smaller than the sum of its proper divisors (93257287200).

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

26789222880 is a wasteful number, since it uses less digits than its factorization.

26789222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 26789222880 in words is "twenty-six billion, seven hundred eighty-nine million, two hundred twenty-two thousand, eight hundred eighty".