1066157561673 has 40 divisors (see below), whose sum is σ = 1630520496000. Its totient is φ = 694034838432.

The previous prime is 1066157561659. The next prime is 1066157561687. The reversal of 1066157561673 is 3761657516601.

1066157561673 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 5 + 7 + 561 + 6 + 73 = 666.

It is an interprime number because it is at equal distance from previous prime (1066157561659) and next prime (1066157561687).

It is not a de Polignac number, because 1066157561673 - 2¹⁴ = 1066157545289 is a prime.

It is a super-2 number, since 2×1066157561673² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066157561653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36561 + ... + 1460702.

It is an arithmetic number, because the mean of its divisors is an integer number (40763012400).

Almost surely, 2^{1066157561673} is an apocalyptic number.

It is an amenable number.

1066157561673 is a deficient number, since it is larger than the sum of its proper divisors (564362934327).

1066157561673 is a wasteful number, since it uses less digits than its factorization.

1066157561673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497483 (or 1497474 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 1066157561673 in words is "one trillion, sixty-six billion, one hundred fifty-seven million, five hundred sixty-one thousand, six hundred seventy-three".