1780132368000 has 768 divisors, whose sum is σ = 6882194592000. Its totient is φ = 405844992000.

The previous prime is 1780132367999. The next prime is 1780132368013. The reversal of 1780132368000 is 8632310871.

It is a self number, because there is not a number n which added to its sum of digits gives 1780132368000.

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 95 ways as a sum of consecutive naturals, for example, 1272431301 + ... + 1272432699.

It is an arithmetic number, because the mean of its divisors is an integer number (8961190875).

Almost surely, 2^{1780132368000} is an apocalyptic number.

1780132368000 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 1780132368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441097296000).

1780132368000 is an abundant number, since it is smaller than the sum of its proper divisors (5102062224000).

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

1780132368000 is a wasteful number, since it uses less digits than its factorization.

1780132368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 1780132368000 its reverse (8632310871), we get a palindrome (1788764678871).

The spelling of 1780132368000 in words is "one trillion, seven hundred eighty billion, one hundred thirty-two million, three hundred sixty-eight thousand".