1683038945280 has 1920 divisors, whose sum is σ = 7344169943040. Its totient is φ = 318504960000.

The previous prime is 1683038945279. The next prime is 1683038945281. The reversal of 1683038945280 is 825498303861.

It is an interprime number because it is at equal distance from previous prime (1683038945279) and next prime (1683038945281).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1683038945280.

It is not an unprimeable number, because it can be changed into a prime (1683038945281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11145953205 + ... + 11145953355.

It is an arithmetic number, because the mean of its divisors is an integer number (3825088512).

Almost surely, 2^{1683038945280} is an apocalyptic number.

1683038945280 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 1683038945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672084971520).

1683038945280 is an abundant number, since it is smaller than the sum of its proper divisors (5661130997760).

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

1683038945280 is a wasteful number, since it uses less digits than its factorization.

1683038945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 1683038945280 in words is "one trillion, six hundred eighty-three billion, thirty-eight million, nine hundred forty-five thousand, two hundred eighty".