1166006142000 has 480 divisors, whose sum is σ = 4657440488064. Its totient is φ = 266333184000.

The previous prime is 1166006141999. The next prime is 1166006142073. The reversal of 1166006142000 is 2416006611.

1166006142000 is a `hidden beast` number, since 1 + 16 + 600 + 6 + 1 + 42 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287403972 + ... + 287408028.

Almost surely, 2^{1166006142000} is an apocalyptic number.

1166006142000 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 1166006142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328720244032).

1166006142000 is an abundant number, since it is smaller than the sum of its proper divisors (3491434346064).

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

1166006142000 is a wasteful number, since it uses less digits than its factorization.

1166006142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1166006142000 in words is "one trillion, one hundred sixty-six billion, six million, one hundred forty-two thousand".