1667188866000 has 640 divisors, whose sum is σ = 6362847608832. Its totient is φ = 367511040000.

The previous prime is 1667188865987. The next prime is 1667188866019. The reversal of 1667188866000 is 6688817661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407523955 + ... + 407528045.

Almost surely, 2^{1667188866000} is an apocalyptic number.

1667188866000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667188866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181423804416).

1667188866000 is an abundant number, since it is smaller than the sum of its proper divisors (4695658742832).

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

1667188866000 is a wasteful number, since it uses less digits than its factorization.

1667188866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 1667188866000 in words is "one trillion, six hundred sixty-seven billion, one hundred eighty-eight million, eight hundred sixty-six thousand".