1968856128000 has 960 divisors, whose sum is σ = 7428088571904. Its totient is φ = 500613120000.

The previous prime is 1968856127993. The next prime is 1968856128023. The reversal of 1968856128000 is 8216588691.

It is a happy number.

1968856128000 is a `hidden beast` number, since 19 + 6 + 8 + 8 + 5 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1267775224 + ... + 1267776776.

Almost surely, 2^{1968856128000} is an apocalyptic number.

1968856128000 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 1968856128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714044285952).

1968856128000 is an abundant number, since it is smaller than the sum of its proper divisors (5459232443904).

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

1968856128000 is a wasteful number, since it uses less digits than its factorization.

1968856128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1968856128000 in words is "one trillion, nine hundred sixty-eight billion, eight hundred fifty-six million, one hundred twenty-eight thousand".