1068165221760 has 1280 divisors, whose sum is σ = 4791756816000. Its totient is φ = 225322352640.

The previous prime is 1068165221759. The next prime is 1068165221789. The reversal of 1068165221760 is 671225618601.

1068165221760 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 6 + 522 + 1 + 7 + 60 = 666.

It is a super-2 number, since 2×1068165221760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231152250 + ... + 231156870.

Almost surely, 2^{1068165221760} is an apocalyptic number.

1068165221760 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 1068165221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395878408000).

1068165221760 is an abundant number, since it is smaller than the sum of its proper divisors (3723591594240).

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

1068165221760 is an equidigital number, since it uses as much as digits as its factorization.

1068165221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4651 counting only the distinct ones).

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

The spelling of 1068165221760 in words is "one trillion, sixty-eight billion, one hundred sixty-five million, two hundred twenty-one thousand, seven hundred sixty".