1783661880000 has 2240 divisors, whose sum is σ = 8190402232320. Its totient is φ = 330393600000.

The previous prime is 1783661879971. The next prime is 1783661880053. The reversal of 1783661880000 is 881663871.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3723719761 + ... + 3723720239.

It is an arithmetic number, because the mean of its divisors is an integer number (3656429568).

Almost surely, 2^{1783661880000} is an apocalyptic number.

1783661880000 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 1783661880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095201116160).

1783661880000 is an abundant number, since it is smaller than the sum of its proper divisors (6406740352320).

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

1783661880000 is a wasteful number, since it uses less digits than its factorization.

1783661880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1783661880000 in words is "one trillion, seven hundred eighty-three billion, six hundred sixty-one million, eight hundred eighty thousand".