1966566874800 has 1920 divisors, whose sum is σ = 7935208685568. Its totient is φ = 413789798400.

The previous prime is 1966566874793. The next prime is 1966566874801. The reversal of 1966566874800 is 84786656691.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1966566874801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29351744367 + ... + 29351744433.

Almost surely, 2^{1966566874800} is an apocalyptic number.

1966566874800 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 1966566874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967604342784).

1966566874800 is an abundant number, since it is smaller than the sum of its proper divisors (5968641810768).

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

1966566874800 is a wasteful number, since it uses less digits than its factorization.

1966566874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 1966566874800 in words is "one trillion, nine hundred sixty-six billion, five hundred sixty-six million, eight hundred seventy-four thousand, eight hundred".