1968856243200 has 3960 divisors, whose sum is σ = 9803649609600. Its totient is φ = 381011558400.

The previous prime is 1968856243169. The next prime is 1968856243247. The reversal of 1968856243200 is 23426588691.

1968856243200 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 8 + 5 + 624 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 33370444771 + ... + 33370444829.

Almost surely, 2^{1968856243200} is an apocalyptic number.

1968856243200 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 1968856243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901824804800).

1968856243200 is an abundant number, since it is smaller than the sum of its proper divisors (7834793366400).

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

1968856243200 is a wasteful number, since it uses less digits than its factorization.

1968856243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1968856243200 in words is "one trillion, nine hundred sixty-eight billion, eight hundred fifty-six million, two hundred forty-three thousand, two hundred".