1789378560000 has 720 divisors, whose sum is σ = 6633371329200. Its totient is φ = 476577792000.

The previous prime is 1789378559957. The next prime is 1789378560007. The reversal of 1789378560000 is 658739871.

1789378560000 is a `hidden beast` number, since 1 + 7 + 8 + 9 + 3 + 78 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1789378560007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2211839596 + ... + 2211840404.

It is an arithmetic number, because the mean of its divisors is an integer number (9213015735).

Almost surely, 2^{1789378560000} is an apocalyptic number.

1789378560000 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 1789378560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316685664600).

1789378560000 is an abundant number, since it is smaller than the sum of its proper divisors (4843992769200).

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

1789378560000 is an frugal number, since it uses more digits than its factorization.

1789378560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1789378560000 in words is "one trillion, seven hundred eighty-nine billion, three hundred seventy-eight million, five hundred sixty thousand".