1966192435200 has 1344 divisors, whose sum is σ = 7751003332608. Its totient is φ = 430492876800.

The previous prime is 1966192435187. The next prime is 1966192435217. The reversal of 1966192435200 is 25342916691.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1966192435200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14351769532 + ... + 14351769668.

Almost surely, 2^{1966192435200} is an apocalyptic number.

1966192435200 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 1966192435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875501666304).

1966192435200 is an abundant number, since it is smaller than the sum of its proper divisors (5784810897408).

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

1966192435200 is a wasteful number, since it uses less digits than its factorization.

1966192435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1966192435200 in words is "one trillion, nine hundred sixty-six billion, one hundred ninety-two million, four hundred thirty-five thousand, two hundred".