26822802240 has 448 divisors, whose sum is σ = 104092369920. Its totient is φ = 6460784640.

The previous prime is 26822802229. The next prime is 26822802241. The reversal of 26822802240 is 4220822862.

It is a super-3 number, since 3×26822802240³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 26822802195 and 26822802204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26822802241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5276500 + ... + 5281580.

It is an arithmetic number, because the mean of its divisors is an integer number (232349040).

Almost surely, 2^26822802240 is an apocalyptic number.

26822802240 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 26822802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52046184960).

26822802240 is an abundant number, since it is smaller than the sum of its proper divisors (77269567680).

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

26822802240 is a wasteful number, since it uses less digits than its factorization.

26822802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 26822802240 in words is "twenty-six billion, eight hundred twenty-two million, eight hundred two thousand, two hundred forty".