1066755168000 has 864 divisors, whose sum is σ = 4141982138112. Its totient is φ = 262619136000.

The previous prime is 1066755167987. The next prime is 1066755168007. The reversal of 1066755168000 is 8615576601.

1066755168000 is a `hidden beast` number, since 1 + 0 + 66 + 75 + 516 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1066755168000² (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 (1066755168007) 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 95 ways as a sum of consecutive naturals, for example, 259485945 + ... + 259490055.

It is an arithmetic number, because the mean of its divisors is an integer number (4793960808).

Almost surely, 2^{1066755168000} is an apocalyptic number.

1066755168000 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 1066755168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070991069056).

1066755168000 is an abundant number, since it is smaller than the sum of its proper divisors (3075226970112).

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

1066755168000 is a wasteful number, since it uses less digits than its factorization.

1066755168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1066755168000 in words is "one trillion, sixty-six billion, seven hundred fifty-five million, one hundred sixty-eight thousand".