1066287542544 has 405 divisors, whose sum is σ = 3669316720407. Its totient is φ = 288173096064.

The previous prime is 1066287542539. The next prime is 1066287542549. The reversal of 1066287542544 is 4452457826601.

The square root of 1066287542544 is 1032612.

It is a perfect power (a square), and thus also a powerful number.

1066287542544 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 28 + 75 + 4 + 2 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (1066287542539) and next prime (1066287542549).

It is a super-2 number, since 2×1066287542544² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066287542549) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1648048429 + ... + 1648049075.

Almost surely, 2^{1066287542544} is an apocalyptic number.

1066287542544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1066287542544 is the 1032612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066287542544

1066287542544 is an abundant number, since it is smaller than the sum of its proper divisors (2603029177863).

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

1066287542544 is an equidigital number, since it uses as much as digits as its factorization.

1066287542544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 1066287542544 in words is "one trillion, sixty-six billion, two hundred eighty-seven million, five hundred forty-two thousand, five hundred forty-four".