1966926628800 has 1680 divisors, whose sum is σ = 8853295049280. Its totient is φ = 418090844160.

The previous prime is 1966926628757. The next prime is 1966926628829. The reversal of 1966926628800 is 88266296691.

1966926628800 is a `hidden beast` number, since 1 + 96 + 6 + 9 + 266 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1372592884 + ... + 1372594316.

Almost surely, 2^{1966926628800} is an apocalyptic number.

1966926628800 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 1966926628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426647524640).

1966926628800 is an abundant number, since it is smaller than the sum of its proper divisors (6886368420480).

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

1966926628800 is a wasteful number, since it uses less digits than its factorization.

1966926628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1966926628800 in words is "one trillion, nine hundred sixty-six billion, nine hundred twenty-six million, six hundred twenty-eight thousand, eight hundred".