1066812189696 has 528 divisors, whose sum is σ = 3580452570240. Its totient is φ = 302526627840.

The previous prime is 1066812189649. The next prime is 1066812189721. The reversal of 1066812189696 is 6969812186601.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1066812189696² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 159866616 + ... + 159873288.

Almost surely, 2^{1066812189696} is an apocalyptic number.

1066812189696 is a gapful number since it is divisible by the number (16) 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 1066812189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790226285120).

1066812189696 is an abundant number, since it is smaller than the sum of its proper divisors (2513640380544).

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

1066812189696 is a wasteful number, since it uses less digits than its factorization.

1066812189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 1066812189696 in words is "one trillion, sixty-six billion, eight hundred twelve million, one hundred eighty-nine thousand, six hundred ninety-six".