1066263504768 has 1152 divisors, whose sum is σ = 4133576079360. Its totient is φ = 256014950400.

The previous prime is 1066263504721. The next prime is 1066263504793. The reversal of 1066263504768 is 8674053626601.

1066263504768 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 63 + 504 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1066263504768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1454656530 + ... + 1454657262.

It is an arithmetic number, because the mean of its divisors is an integer number (3588173680).

Almost surely, 2^{1066263504768} is an apocalyptic number.

1066263504768 is a gapful number since it is divisible by the number (18) 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 1066263504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066788039680).

1066263504768 is an abundant number, since it is smaller than the sum of its proper divisors (3067312574592).

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

1066263504768 is a wasteful number, since it uses less digits than its factorization.

1066263504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1066263504768 in words is "one trillion, sixty-six billion, two hundred sixty-three million, five hundred four thousand, seven hundred sixty-eight".