1789809998400 has 1344 divisors, whose sum is σ = 7093765969920. Its totient is φ = 437944320000.

The previous prime is 1789809998381. The next prime is 1789809998407. The reversal of 1789809998400 is 48999089871.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1789809998407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2031565960 + ... + 2031566840.

It is an arithmetic number, because the mean of its divisors is an integer number (5278099680).

Almost surely, 2^{1789809998400} is an apocalyptic number.

1789809998400 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 1789809998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546882984960).

1789809998400 is an abundant number, since it is smaller than the sum of its proper divisors (5303955971520).

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

1789809998400 is a wasteful number, since it uses less digits than its factorization.

1789809998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 1789809998400 in words is "one trillion, seven hundred eighty-nine billion, eight hundred nine million, nine hundred ninety-eight thousand, four hundred".