109116118056960 has 720 divisors, whose sum is σ = 440452078387776. Its totient is φ = 24470184001536.

The previous prime is 109116118056901. The next prime is 109116118056971. The reversal of 109116118056960 is 69650811611901.

109116118056960 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 1 + 6 + 1 + 18 + 0 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 109116118056897 and 109116118056906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273331422 + ... + 273730338.

Almost surely, 2^{109116118056960} is an apocalyptic number.

109116118056960 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 109116118056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220226039193888).

109116118056960 is an abundant number, since it is smaller than the sum of its proper divisors (331335960330816).

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

109116118056960 is an equidigital number, since it uses as much as digits as its factorization.

109116118056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399016 (or 398987 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 109116118056960 in words is "one hundred nine trillion, one hundred sixteen billion, one hundred eighteen million, fifty-six thousand, nine hundred sixty".