1109139816960 has 1600 divisors, whose sum is σ = 4831220782080. Its totient is φ = 237564887040.

The previous prime is 1109139816949. The next prime is 1109139817069. The reversal of 1109139816960 is 696189319011.

It is a happy number.

1109139816960 is a `hidden beast` number, since 1 + 1 + 0 + 91 + 398 + 169 + 6 + 0 = 666.

It is a super-2 number, since 2×1109139816960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1109139816897 and 1109139816906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3612833127 + ... + 3612833433.

Almost surely, 2^{1109139816960} is an apocalyptic number.

1109139816960 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 1109139816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415610391040).

1109139816960 is an abundant number, since it is smaller than the sum of its proper divisors (3722080965120).

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

1109139816960 is a wasteful number, since it uses less digits than its factorization.

1109139816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 1109139816960 in words is "one trillion, one hundred nine billion, one hundred thirty-nine million, eight hundred sixteen thousand, nine hundred sixty".