1066352716800 has 3168 divisors, whose sum is σ = 5131792972800. Its totient is φ = 205541867520.

The previous prime is 1066352716757. The next prime is 1066352716829. The reversal of 1066352716800 is 86172536601.

1066352716800 is a `hidden beast` number, since 1 + 0 + 6 + 63 + 527 + 1 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×1066352716800² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11981491156 + ... + 11981491244.

Almost surely, 2^{1066352716800} is an apocalyptic number.

1066352716800 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 1066352716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565896486400).

1066352716800 is an abundant number, since it is smaller than the sum of its proper divisors (4065440256000).

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

1066352716800 is a wasteful number, since it uses less digits than its factorization.

1066352716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1066352716800 in words is "one trillion, sixty-six billion, three hundred fifty-two million, seven hundred sixteen thousand, eight hundred".