22109834880 has 1152 divisors, whose sum is σ = 96999552000. Its totient is φ = 4633251840.

The previous prime is 22109834867. The next prime is 22109834881. The reversal of 22109834880 is 8843890122.

22109834880 is a `hidden beast` number, since 2 + 210 + 98 + 348 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×22109834880³ (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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22109834881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 713220465 + ... + 713220495.

It is an arithmetic number, because the mean of its divisors is an integer number (84201000).

Almost surely, 2^22109834880 is an apocalyptic number.

22109834880 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 22109834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48499776000).

22109834880 is an abundant number, since it is smaller than the sum of its proper divisors (74889717120).

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

22109834880 is a wasteful number, since it uses less digits than its factorization.

22109834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22109834880 in words is "twenty-two billion, one hundred nine million, eight hundred thirty-four thousand, eight hundred eighty".