21226106880 has 936 divisors, whose sum is σ = 87631249680. Its totient is φ = 4706795520.

The previous prime is 21226106879. The next prime is 21226106911. The reversal of 21226106880 is 8860162212.

It is a super-2 number, since 2×21226106880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 731934706 + ... + 731934734.

It is an arithmetic number, because the mean of its divisors is an integer number (93623130).

Almost surely, 2^21226106880 is an apocalyptic number.

21226106880 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 21226106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43815624840).

21226106880 is an abundant number, since it is smaller than the sum of its proper divisors (66405142800).

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

21226106880 is a wasteful number, since it uses less digits than its factorization.

21226106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21226106880 in words is "twenty-one billion, two hundred twenty-six million, one hundred six thousand, eight hundred eighty".