1109680488960 has 320 divisors, whose sum is σ = 3759086403072. Its totient is φ = 278293118976.

The previous prime is 1109680488953. The next prime is 1109680489063. The reversal of 1109680488960 is 698840869011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1109680488894 and 1109680488903.

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, 232002729 + ... + 232007511.

Almost surely, 2^{1109680488960} is an apocalyptic number.

1109680488960 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 1109680488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879543201536).

1109680488960 is an abundant number, since it is smaller than the sum of its proper divisors (2649405914112).

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

1109680488960 is a wasteful number, since it uses less digits than its factorization.

1109680488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 1109680488960 in words is "one trillion, one hundred nine billion, six hundred eighty million, four hundred eighty-eight thousand, nine hundred sixty".