1683000130560 has 2816 divisors, whose sum is σ = 7470600192000. Its totient is φ = 320458457088.

The previous prime is 1683000130523. The next prime is 1683000130589. The reversal of 1683000130560 is 650310003861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39139537899 + ... + 39139537941.

It is an arithmetic number, because the mean of its divisors is an integer number (2652912000).

Almost surely, 2^{1683000130560} is an apocalyptic number.

1683000130560 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 1683000130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735300096000).

1683000130560 is an abundant number, since it is smaller than the sum of its proper divisors (5787600061440).

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

1683000130560 is a wasteful number, since it uses less digits than its factorization.

1683000130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

It can be divided in two parts, 1683000 and 130560, that added together give a triangular number (1813560 = T₁₉₀₄).

The spelling of 1683000130560 in words is "one trillion, six hundred eighty-three billion, one hundred thirty thousand, five hundred sixty".