26822122272 has 432 divisors, whose sum is σ = 90034701120. Its totient is φ = 7839659520.

The previous prime is 26822122259. The next prime is 26822122273. The reversal of 26822122272 is 27222122862.

26822122272 is a `hidden beast` number, since 268 + 2 + 2 + 122 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (26822122273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27285493 + ... + 27286475.

It is an arithmetic number, because the mean of its divisors is an integer number (208413660).

Almost surely, 2^26822122272 is an apocalyptic number.

26822122272 is a gapful number since it is divisible by the number (22) 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 26822122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45017350560).

26822122272 is an abundant number, since it is smaller than the sum of its proper divisors (63212578848).

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

26822122272 is a wasteful number, since it uses less digits than its factorization.

26822122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1028 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 26822122272 in words is "twenty-six billion, eight hundred twenty-two million, one hundred twenty-two thousand, two hundred seventy-two".