1968198201600 has 1296 divisors, whose sum is σ = 7220548813632. Its totient is φ = 471670456320.

The previous prime is 1968198201523. The next prime is 1968198201637. The reversal of 1968198201600 is 61028918691.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17417683144 + ... + 17417683256.

Almost surely, 2^{1968198201600} is an apocalyptic number.

1968198201600 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 1968198201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610274406816).

1968198201600 is an abundant number, since it is smaller than the sum of its proper divisors (5252350612032).

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

1968198201600 is a wasteful number, since it uses less digits than its factorization.

1968198201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 1968198201600 in words is "one trillion, nine hundred sixty-eight billion, one hundred ninety-eight million, two hundred one thousand, six hundred".