109960386693120 has 384 divisors, whose sum is σ = 397499867856000. Its totient is φ = 28825769410560.

The previous prime is 109960386693119. The next prime is 109960386693151. The reversal of 109960386693120 is 21396683069901.

109960386693120 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 603 + 8 + 6 + 6 + 9 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12941850 + ... + 19682790.

It is an arithmetic number, because the mean of its divisors is an integer number (1035155905875).

Almost surely, 2^{109960386693120} is an apocalyptic number.

109960386693120 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 109960386693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198749933928000).

109960386693120 is an abundant number, since it is smaller than the sum of its proper divisors (287539481162880).

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

109960386693120 is an equidigital number, since it uses as much as digits as its factorization.

109960386693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741036 (or 6741010 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 109960386693120 in words is "one hundred nine trillion, nine hundred sixty billion, three hundred eighty-six million, six hundred ninety-three thousand, one hundred twenty".