18960220800000 has 1584 divisors, whose sum is σ = 72992627547840. Its totient is φ = 4911943680000.

The previous prime is 18960220799999. The next prime is 18960220800007. The reversal of 18960220800000 is 802206981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18960220800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28771199671 + ... + 28771200329.

It is an arithmetic number, because the mean of its divisors is an integer number (46081204260).

Almost surely, 2^{18960220800000} is an apocalyptic number.

18960220800000 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 18960220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36496313773920).

18960220800000 is an abundant number, since it is smaller than the sum of its proper divisors (54032406747840).

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

18960220800000 is an frugal number, since it uses more digits than its factorization.

18960220800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18960220800000 in words is "eighteen trillion, nine hundred sixty billion, two hundred twenty million, eight hundred thousand".