1996689729600 has 504 divisors, whose sum is σ = 7189958061000. Its totient is φ = 525493370880.

The previous prime is 1996689729569. The next prime is 1996689729637. The reversal of 1996689729600 is 69279866991.

1996689729600 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 8 + 9 + 7 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1444438615104 + 552251114496 = 1201848^2 + 743136^2 .

It is a super-2 number, since 2×1996689729600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422220036 + ... + 422224764.

Almost surely, 2^{1996689729600} is an apocalyptic number.

1996689729600 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 1996689729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594979030500).

1996689729600 is an abundant number, since it is smaller than the sum of its proper divisors (5193268331400).

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

1996689729600 is a wasteful number, since it uses less digits than its factorization.

1996689729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 1996689729600 in words is "one trillion, nine hundred ninety-six billion, six hundred eighty-nine million, seven hundred twenty-nine thousand, six hundred".