1968898065792 has 512 divisors, whose sum is σ = 6291540172800. Its totient is φ = 533716992000.

The previous prime is 1968898065781. The next prime is 1968898065863. The reversal of 1968898065792 is 2975608988691.

It is a congruent number.

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, 2587250692 + ... + 2587251452.

It is an arithmetic number, because the mean of its divisors is an integer number (12288164400).

Almost surely, 2^{1968898065792} is an apocalyptic number.

1968898065792 is a gapful number since it is divisible by the number (12) 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 1968898065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145770086400).

1968898065792 is an abundant number, since it is smaller than the sum of its proper divisors (4322642107008).

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

1968898065792 is a wasteful number, since it uses less digits than its factorization.

1968898065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 78.

The spelling of 1968898065792 in words is "one trillion, nine hundred sixty-eight billion, eight hundred ninety-eight million, sixty-five thousand, seven hundred ninety-two".