1681838899200 has 2040 divisors, whose sum is σ = 7079721422400. Its totient is φ = 392398110720.

The previous prime is 1681838899163. The next prime is 1681838899231. The reversal of 1681838899200 is 29988381861.

It is a happy number.

1681838899200 is a `hidden beast` number, since 168 + 1 + 8 + 388 + 9 + 92 + 0 + 0 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 57994444786 + ... + 57994444814.

Almost surely, 2^{1681838899200} is an apocalyptic number.

1681838899200 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 1681838899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539860711200).

1681838899200 is an abundant number, since it is smaller than the sum of its proper divisors (5397882523200).

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

1681838899200 is an equidigital number, since it uses as much as digits as its factorization.

1681838899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 1681838899200 in words is "one trillion, six hundred eighty-one billion, eight hundred thirty-eight million, eight hundred ninety-nine thousand, two hundred".