1966899916800 has 1872 divisors, whose sum is σ = 8873015424000. Its totient is φ = 405350645760.

The previous prime is 1966899916783. The next prime is 1966899916811. The reversal of 1966899916800 is 86199986691.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 3941682951 + ... + 3941683449.

Almost surely, 2^{1966899916800} is an apocalyptic number.

1966899916800 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 1966899916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436507712000).

1966899916800 is an abundant number, since it is smaller than the sum of its proper divisors (6906115507200).

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

1966899916800 is a wasteful number, since it uses less digits than its factorization.

1966899916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 1966899916800 in words is "one trillion, nine hundred sixty-six billion, eight hundred ninety-nine million, nine hundred sixteen thousand, eight hundred".