1789298213120 has 144 divisors (see below), whose sum is σ = 4691526581952. Its totient is φ = 648431738880.

The previous prime is 1789298213089. The next prime is 1789298213159. The reversal of 1789298213120 is 213128929871.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3908579 + ... + 4342301.

It is an arithmetic number, because the mean of its divisors is an integer number (32580045708).

Almost surely, 2^{1789298213120} is an apocalyptic number.

1789298213120 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 1789298213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345763290976).

1789298213120 is an abundant number, since it is smaller than the sum of its proper divisors (2902228368832).

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

1789298213120 is a wasteful number, since it uses less digits than its factorization.

1789298213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434048 (or 434034 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 1789298213120 in words is "one trillion, seven hundred eighty-nine billion, two hundred ninety-eight million, two hundred thirteen thousand, one hundred twenty".