1983293061120 has 1152 divisors, whose sum is σ = 8411736453120. Its totient is φ = 438581329920.

The previous prime is 1983293061109. The next prime is 1983293061133. The reversal of 1983293061120 is 211603923891.

It is a happy number.

1983293061120 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 2 + 9 + 3 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539963604 + ... + 539967276.

It is an arithmetic number, because the mean of its divisors is an integer number (7301854560).

Almost surely, 2^{1983293061120} is an apocalyptic number.

1983293061120 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 1983293061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205868226560).

1983293061120 is an abundant number, since it is smaller than the sum of its proper divisors (6428443392000).

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

1983293061120 is an equidigital number, since it uses as much as digits as its factorization.

1983293061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1983293061120 in words is "one trillion, nine hundred eighty-three billion, two hundred ninety-three million, sixty-one thousand, one hundred twenty".