1683052012800 has 324 divisors, whose sum is σ = 6070564638684. Its totient is φ = 444840345600.

The previous prime is 1683052012727. The next prime is 1683052012801. The reversal of 1683052012800 is 82102503861.

It is a happy number.

1683052012800 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 0 + 520 + 128 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 573788070144 + 1109263942656 = 757488^2 + 1053216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683052012801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6379510 + ... + 6638090.

Almost surely, 2^{1683052012800} is an apocalyptic number.

1683052012800 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 1683052012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035282319342).

1683052012800 is an abundant number, since it is smaller than the sum of its proper divisors (4387512625884).

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

1683052012800 is a wasteful number, since it uses less digits than its factorization.

1683052012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258726 (or 258704 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1683052012800 in words is "one trillion, six hundred eighty-three billion, fifty-two million, twelve thousand, eight hundred".