109287018852960 has 384 divisors, whose sum is σ = 379770979714560. Its totient is φ = 26252419055616.

The previous prime is 109287018852959. The next prime is 109287018852989. The reversal of 109287018852960 is 69258810782901.

It is a junction number, because it is equal to n+sod(n) for n = 109287018852891 and 109287018852900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49354539 + ... + 51521301.

It is an arithmetic number, because the mean of its divisors is an integer number (988986926340).

Almost surely, 2^{109287018852960} is an apocalyptic number.

109287018852960 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 109287018852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189885489857280).

109287018852960 is an abundant number, since it is smaller than the sum of its proper divisors (270483960861600).

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

109287018852960 is a wasteful number, since it uses less digits than its factorization.

109287018852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166990 (or 2166982 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 109287018852960 in words is "one hundred nine trillion, two hundred eighty-seven billion, eighteen million, eight hundred fifty-two thousand, nine hundred sixty".