109280791638720 has 3584 divisors, whose sum is σ = 451760885452800. Its totient is φ = 24680949350400.

The previous prime is 109280791638713. The next prime is 109280791638787. The reversal of 109280791638720 is 27836197082901.

109280791638720 is a `hidden beast` number, since 1 + 0 + 92 + 80 + 7 + 91 + 6 + 387 + 2 + 0 = 666.

109280791638720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1002576070026 + ... + 1002576070134.

It is an arithmetic number, because the mean of its divisors is an integer number (126049354200).

Almost surely, 2^{109280791638720} is an apocalyptic number.

109280791638720 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 109280791638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225880442726400).

109280791638720 is an abundant number, since it is smaller than the sum of its proper divisors (342480093814080).

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

109280791638720 is a wasteful number, since it uses less digits than its factorization.

109280791638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 109280791638720 in words is "one hundred nine trillion, two hundred eighty billion, seven hundred ninety-one million, six hundred thirty-eight thousand, seven hundred twenty".