1165105599840 has 1152 divisors, whose sum is σ = 5454190909440. Its totient is φ = 219179188224.

The previous prime is 1165105599811. The next prime is 1165105599841. The reversal of 1165105599840 is 489955015611.

It is a happy number.

1165105599840 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 0 + 5 + 599 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165105599841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42312157 + ... + 42339683.

It is an arithmetic number, because the mean of its divisors is an integer number (4734540720).

Almost surely, 2^{1165105599840} is an apocalyptic number.

1165105599840 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 1165105599840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727095454720).

1165105599840 is an abundant number, since it is smaller than the sum of its proper divisors (4289085309600).

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

1165105599840 is a wasteful number, since it uses less digits than its factorization.

1165105599840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27604 (or 27593 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 1165105599840 in words is "one trillion, one hundred sixty-five billion, one hundred five million, five hundred ninety-nine thousand, eight hundred forty".