1056110010066 has 80 divisors (see below), whose sum is σ = 2449869067800. Its totient is φ = 339647841792.

The previous prime is 1056110010041. The next prime is 1056110010079. The reversal of 1056110010066 is 6600100116501.

It can be written as a sum of positive squares in 4 ways, for example, as 1054874839041 + 1235171025 = 1027071^2 + 35145^2 .

It is a super-2 number, since 2×1056110010066² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6368490 + ... + 6532218.

Almost surely, 2^{1056110010066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056110010066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224934533900).

1056110010066 is an abundant number, since it is smaller than the sum of its proper divisors (1393759057734).

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

1056110010066 is a wasteful number, since it uses less digits than its factorization.

1056110010066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165145 (or 165136 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1056110010066 its reverse (6600100116501), we get a palindrome (7656210126567).

The spelling of 1056110010066 in words is "one trillion, fifty-six billion, one hundred ten million, ten thousand, sixty-six".