22726733120 has 168 divisors, whose sum is σ = 67796825544. Its totient is φ = 7192571904.

The previous prime is 22726733087. The next prime is 22726733129. The reversal of 22726733120 is 2133762722.

It can be written as a sum of positive squares in 4 ways, for example, as 504271936 + 22222461184 = 22456^2 + 149072^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22726733129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148094 + ... + 259586.

It is an arithmetic number, because the mean of its divisors is an integer number (403552533).

Almost surely, 2^22726733120 is an apocalyptic number.

22726733120 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 22726733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33898412772).

22726733120 is an abundant number, since it is smaller than the sum of its proper divisors (45070092424).

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

22726733120 is a wasteful number, since it uses less digits than its factorization.

22726733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111537 (or 111520 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 22726733120 in words is "twenty-two billion, seven hundred twenty-six million, seven hundred thirty-three thousand, one hundred twenty".