1968580561920 has 704 divisors, whose sum is σ = 7320622233600. Its totient is φ = 442231160832.

The previous prime is 1968580561907. The next prime is 1968580561931. The reversal of 1968580561920 is 291650858691.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650108844 + ... + 1650110036.

Almost surely, 2^{1968580561920} is an apocalyptic number.

1968580561920 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 1968580561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660311116800).

1968580561920 is an abundant number, since it is smaller than the sum of its proper divisors (5352041671680).

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

1968580561920 is a wasteful number, since it uses less digits than its factorization.

1968580561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 60.

The spelling of 1968580561920 in words is "one trillion, nine hundred sixty-eight billion, five hundred eighty million, five hundred sixty-one thousand, nine hundred twenty".