1006661665500 has 96 divisors (see below), whose sum is σ = 3058850995200. Its totient is φ = 256771662400.

The previous prime is 1006661665487. The next prime is 1006661665531. The reversal of 1006661665500 is 55661666001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14554800 + ... + 14623799.

It is an arithmetic number, because the mean of its divisors is an integer number (31863031200).

Almost surely, 2^{1006661665500} is an apocalyptic number.

1006661665500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006661665500 is an abundant number, since it is smaller than the sum of its proper divisors (2052189329700).

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

1006661665500 is a wasteful number, since it uses less digits than its factorization.

1006661665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29178644 (or 29178632 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1006661665500 in words is "one trillion, six billion, six hundred sixty-one million, six hundred sixty-five thousand, five hundred".