1798350724800 has 1260 divisors, whose sum is σ = 7878204684504. Its totient is φ = 400967884800.

The previous prime is 1798350724789. The next prime is 1798350724817. The reversal of 1798350724800 is 84270538971.

It is a happy number.

1798350724800 is a `hidden beast` number, since 1 + 7 + 98 + 3 + 5 + 0 + 72 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 260362947 + ... + 260369853.

Almost surely, 2^{1798350724800} is an apocalyptic number.

1798350724800 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 1798350724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939102342252).

1798350724800 is an abundant number, since it is smaller than the sum of its proper divisors (6079853959704).

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

1798350724800 is a wasteful number, since it uses less digits than its factorization.

1798350724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1798350724800 in words is "one trillion, seven hundred ninety-eight billion, three hundred fifty million, seven hundred twenty-four thousand, eight hundred".