109279221358320 has 960 divisors, whose sum is σ = 416273240807424. Its totient is φ = 25490001715200.

The previous prime is 109279221358309. The next prime is 109279221358327. The reversal of 109279221358320 is 23853122972901.

109279221358320 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 7 + 9 + 22 + 13 + 583 + 20 = 666.

It is a super-3 number, since 3×109279221358320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109279221358327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11037185370 + ... + 11037195270.

Almost surely, 2^{109279221358320} is an apocalyptic number.

109279221358320 is a gapful number since it is divisible by the number (10) 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 109279221358320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208136620403712).

109279221358320 is an abundant number, since it is smaller than the sum of its proper divisors (306994019449104).

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

109279221358320 is a wasteful number, since it uses less digits than its factorization.

109279221358320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 109279221358320 in words is "one hundred nine trillion, two hundred seventy-nine billion, two hundred twenty-one million, three hundred fifty-eight thousand, three hundred twenty".