1066852217200 has 120 divisors (see below), whose sum is σ = 3195568863360. Its totient is φ = 332525356800.

The previous prime is 1066852217191. The next prime is 1066852217203. The reversal of 1066852217200 is 27122586601.

1066852217200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066852217200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066852217203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17288230 + ... + 17349829.

It is an arithmetic number, because the mean of its divisors is an integer number (26629740528).

Almost surely, 2^{1066852217200} is an apocalyptic number.

1066852217200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066852217200 is an abundant number, since it is smaller than the sum of its proper divisors (2128716646160).

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

1066852217200 is a wasteful number, since it uses less digits than its factorization.

1066852217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638095 (or 34638084 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 1066852217200 in words is "one trillion, sixty-six billion, eight hundred fifty-two million, two hundred seventeen thousand, two hundred".