1666288800225 has 144 divisors (see below), whose sum is σ = 3476871216000. Its totient is φ = 747005276160.

The previous prime is 1666288800173. The next prime is 1666288800263. The reversal of 1666288800225 is 5220088826661.

It is a happy number.

It is not a de Polignac number, because 1666288800225 - 2⁶ = 1666288800161 is a prime.

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, 264529126 + ... + 264535424.

It is an arithmetic number, because the mean of its divisors is an integer number (24144939000).

Almost surely, 2^{1666288800225} is an apocalyptic number.

1666288800225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1666288800225 is an abundant number, since it is smaller than the sum of its proper divisors (1810582415775).

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

1666288800225 is a wasteful number, since it uses less digits than its factorization.

1666288800225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1666288800225 in words is "one trillion, six hundred sixty-six billion, two hundred eighty-eight million, eight hundred thousand, two hundred twenty-five".