1165061726208 has 224 divisors, whose sum is σ = 3457494532800. Its totient is φ = 387716087808.

The previous prime is 1165061726201. The next prime is 1165061726209. The reversal of 1165061726208 is 8026271605611.

1165061726208 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 6 + 17 + 2 + 620 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1165061726201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 145756260 + ... + 145764252.

It is an arithmetic number, because the mean of its divisors is an integer number (15435243450).

Almost surely, 2^{1165061726208} is an apocalyptic number.

1165061726208 is a gapful number since it is divisible by the number (18) 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 1165061726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728747266400).

1165061726208 is an abundant number, since it is smaller than the sum of its proper divisors (2292432806592).

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

1165061726208 is an frugal number, since it uses more digits than its factorization.

1165061726208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1165061726208 in words is "one trillion, one hundred sixty-five billion, sixty-one million, seven hundred twenty-six thousand, two hundred eight".