1066568417280 has 768 divisors, whose sum is σ = 3853058498640. Its totient is φ = 272696868864.

The previous prime is 1066568417219. The next prime is 1066568417287. The reversal of 1066568417280 is 827148656601.

1066568417280 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 568 + 4 + 1 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 608250249216 + 458318168064 = 779904^2 + 676992^2 .

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1066568417280² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066568417287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6165135274 + ... + 6165135446.

Almost surely, 2^{1066568417280} is an apocalyptic number.

1066568417280 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 1066568417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926529249320).

1066568417280 is an abundant number, since it is smaller than the sum of its proper divisors (2786490081360).

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

1066568417280 is a wasteful number, since it uses less digits than its factorization.

1066568417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1066568417280 in words is "one trillion, sixty-six billion, five hundred sixty-eight million, four hundred seventeen thousand, two hundred eighty".