1066168293120 has 432 divisors, whose sum is σ = 4371957058560. Its totient is φ = 243695112192.

The previous prime is 1066168293109. The next prime is 1066168293121. The reversal of 1066168293120 is 213928616601.

1066168293120 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 8 + 2 + 9 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1066168293120² (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 not an unprimeable number, because it can be changed into a prime (1066168293121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1932441 + ... + 2422119.

Almost surely, 2^{1066168293120} is an apocalyptic number.

1066168293120 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 1066168293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185978529280).

1066168293120 is an abundant number, since it is smaller than the sum of its proper divisors (3305788765440).

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

1066168293120 is an frugal number, since it uses more digits than its factorization.

1066168293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489722 (or 489696 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1066168293120 in words is "one trillion, sixty-six billion, one hundred sixty-eight million, two hundred ninety-three thousand, one hundred twenty".