19785348280000 has 560 divisors, whose sum is σ = 52450339518720. Its totient is φ = 7381366272000.

The previous prime is 19785348279919. The next prime is 19785348280003. The reversal of 19785348280000 is 8284358791.

It is not an unprimeable number, because it can be changed into a prime (19785348280003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15421159359 + ... + 15421160641.

Almost surely, 2^{19785348280000} is an apocalyptic number.

19785348280000 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 19785348280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225169759360).

19785348280000 is an abundant number, since it is smaller than the sum of its proper divisors (32664991238720).

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

19785348280000 is a wasteful number, since it uses less digits than its factorization.

19785348280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 19785348280000 in words is "nineteen trillion, seven hundred eighty-five billion, three hundred forty-eight million, two hundred eighty thousand".