1681819027200 has 1728 divisors, whose sum is σ = 7100742190080. Its totient is φ = 386266890240.

The previous prime is 1681819027127. The next prime is 1681819027241. The reversal of 1681819027200 is 27209181861.

1681819027200 is a `hidden beast` number, since 168 + 181 + 90 + 27 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2221689222 + ... + 2221689978.

Almost surely, 2^{1681819027200} is an apocalyptic number.

1681819027200 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 1681819027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550371095040).

1681819027200 is an abundant number, since it is smaller than the sum of its proper divisors (5418923162880).

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

1681819027200 is a wasteful number, since it uses less digits than its factorization.

1681819027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1681819027200 in words is "one trillion, six hundred eighty-one billion, eight hundred nineteen million, twenty-seven thousand, two hundred".