1782180920352 has 192 divisors, whose sum is σ = 5636664391680. Its totient is φ = 481647015936.

The previous prime is 1782180920339. The next prime is 1782180920381. The reversal of 1782180920352 is 2530290812871.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8153028 + ... + 8368764.

It is an arithmetic number, because the mean of its divisors is an integer number (29357627040).

Almost surely, 2^{1782180920352} is an apocalyptic number.

1782180920352 is a gapful number since it is divisible by the number (12) 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 1782180920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818332195840).

1782180920352 is an abundant number, since it is smaller than the sum of its proper divisors (3854483471328).

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

1782180920352 is a wasteful number, since it uses less digits than its factorization.

1782180920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216423 (or 216415 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1782180920352 in words is "one trillion, seven hundred eighty-two billion, one hundred eighty million, nine hundred twenty thousand, three hundred fifty-two".