18198507724800 has 1344 divisors, whose sum is σ = 69344800648704. Its totient is φ = 4171235328000.

The previous prime is 18198507724777. The next prime is 18198507724819. The reversal of 18198507724800 is 842770589181.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13714021737 + ... + 13714023063.

It is an arithmetic number, because the mean of its divisors is an integer number (51595833816).

Almost surely, 2^{18198507724800} is an apocalyptic number.

18198507724800 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 18198507724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672400324352).

18198507724800 is an abundant number, since it is smaller than the sum of its proper divisors (51146292923904).

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

18198507724800 is a wasteful number, since it uses less digits than its factorization.

18198507724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 18198507724800 in words is "eighteen trillion, one hundred ninety-eight billion, five hundred seven million, seven hundred twenty-four thousand, eight hundred".