1968228219600 has 180 divisors, whose sum is σ = 6830882962176. Its totient is φ = 524815960320.

The previous prime is 1968228219589. The next prime is 1968228219641. The reversal of 1968228219600 is 69128228691.

It is a happy number.

1968228219600 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 2 + 2 + 8 + 21 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 82885329 + ... + 82909071.

Almost surely, 2^{1968228219600} is an apocalyptic number.

1968228219600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968228219600 is an abundant number, since it is smaller than the sum of its proper divisors (4862654742576).

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

1968228219600 is a wasteful number, since it uses less digits than its factorization.

1968228219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46794 (or 46780 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1968228219600 in words is "one trillion, nine hundred sixty-eight billion, two hundred twenty-eight million, two hundred nineteen thousand, six hundred".