22109853934080 has 1600 divisors, whose sum is σ = 90416838809088. Its totient is φ = 5115667415040.

The previous prime is 22109853934039. The next prime is 22109853934099. The reversal of 22109853934080 is 8043935890122.

22109853934080 is a `hidden beast` number, since 2 + 2 + 10 + 98 + 53 + 93 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4472960089 + ... + 4472965031.

Almost surely, 2^{22109853934080} is an apocalyptic number.

22109853934080 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 22109853934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208419404544).

22109853934080 is an abundant number, since it is smaller than the sum of its proper divisors (68306984875008).

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

22109853934080 is a wasteful number, since it uses less digits than its factorization.

22109853934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 22109853934080 in words is "twenty-two trillion, one hundred nine billion, eight hundred fifty-three million, nine hundred thirty-four thousand, eighty".