1680544509120 has 336 divisors, whose sum is σ = 6149439230688. Its totient is φ = 419782164480.

The previous prime is 1680544509071. The next prime is 1680544509157. The reversal of 1680544509120 is 219054450861.

1680544509120 is a `hidden beast` number, since 1 + 6 + 80 + 5 + 44 + 509 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10249222 + ... + 10411898.

Almost surely, 2^{1680544509120} is an apocalyptic number.

1680544509120 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 1680544509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074719615344).

1680544509120 is an abundant number, since it is smaller than the sum of its proper divisors (4468894721568).

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

1680544509120 is a wasteful number, since it uses less digits than its factorization.

1680544509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162928 (or 162915 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 1680544509120 its reverse (219054450861), we get a palindrome (1899598959981).

The spelling of 1680544509120 in words is "one trillion, six hundred eighty billion, five hundred forty-four million, five hundred nine thousand, one hundred twenty".