1161006566560 has 24 divisors (see below), whose sum is σ = 2742878013876. Its totient is φ = 464402626560.

The previous prime is 1161006566557. The next prime is 1161006566563. The reversal of 1161006566560 is 656656001611.

It is an interprime number because it is at equal distance from previous prime (1161006566557) and next prime (1161006566563).

It can be written as a sum of positive squares in 2 ways, for example, as 1156751874576 + 4254691984 = 1075524^2 + 65228^2 .

It is not an unprimeable number, because it can be changed into a prime (1161006566563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3628145361 + ... + 3628145680.

Almost surely, 2^{1161006566560} is an apocalyptic number.

1161006566560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161006566560 is an abundant number, since it is smaller than the sum of its proper divisors (1581871447316).

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

1161006566560 is an equidigital number, since it uses as much as digits as its factorization.

1161006566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256291056 (or 7256291048 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1161006566560 in words is "one trillion, one hundred sixty-one billion, six million, five hundred sixty-six thousand, five hundred sixty".