1996668610560 has 1920 divisors, whose sum is σ = 8223092317440. Its totient is φ = 459666358272.

The previous prime is 1996668610553. The next prime is 1996668610577. The reversal of 1996668610560 is 650168666991.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20584212432 + ... + 20584212528.

It is an arithmetic number, because the mean of its divisors is an integer number (4282860582).

Almost surely, 2^{1996668610560} is an apocalyptic number.

1996668610560 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 1996668610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111546158720).

1996668610560 is an abundant number, since it is smaller than the sum of its proper divisors (6226423706880).

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

1996668610560 is a wasteful number, since it uses less digits than its factorization.

1996668610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1996668610560 in words is "one trillion, nine hundred ninety-six billion, six hundred sixty-eight million, six hundred ten thousand, five hundred sixty".