1968950550528 has 1120 divisors, whose sum is σ = 6749481446400. Its totient is φ = 567575838720.

The previous prime is 1968950550467. The next prime is 1968950550529. The reversal of 1968950550528 is 8250550598691.

1968950550528 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 9 + 50 + 5 + 50 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (1968950550529) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9894223773 + ... + 9894223971.

It is an arithmetic number, because the mean of its divisors is an integer number (6026322720).

Almost surely, 2^{1968950550528} is an apocalyptic number.

1968950550528 is a gapful number since it is divisible by the number (18) 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 1968950550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374740723200).

1968950550528 is an abundant number, since it is smaller than the sum of its proper divisors (4780530895872).

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

1968950550528 is a wasteful number, since it uses less digits than its factorization.

1968950550528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 63.

The spelling of 1968950550528 in words is "one trillion, nine hundred sixty-eight billion, nine hundred fifty million, five hundred fifty thousand, five hundred twenty-eight".