1066165027200 has 3456 divisors, whose sum is σ = 5223553171200. Its totient is φ = 209616076800.

The previous prime is 1066165027183. The next prime is 1066165027211. The reversal of 1066165027200 is 27205616601.

It is a happy number.

1066165027200 is a `hidden beast` number, since 10 + 6 + 616 + 5 + 0 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1066165027200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17478115170 + ... + 17478115230.

Almost surely, 2^{1066165027200} is an apocalyptic number.

1066165027200 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 1066165027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611776585600).

1066165027200 is an abundant number, since it is smaller than the sum of its proper divisors (4157388144000).

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

1066165027200 is a wasteful number, since it uses less digits than its factorization.

1066165027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1066165027200 in words is "one trillion, sixty-six billion, one hundred sixty-five million, twenty-seven thousand, two hundred".