18960220800 has 576 divisors, whose sum is σ = 72165693600. Its totient is φ = 4911943680.

The previous prime is 18960220789. The next prime is 18960220801. The reversal of 18960220800 is 802206981.

It is a tau number, because it is divible by the number of its divisors (576).

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 (18960220801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28770871 + ... + 28771529.

Almost surely, 2^18960220800 is an apocalyptic number.

18960220800 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 18960220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36082846800).

18960220800 is an abundant number, since it is smaller than the sum of its proper divisors (53205472800).

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

18960220800 is an equidigital number, since it uses as much as digits as its factorization.

18960220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 706 counting only the distinct ones).

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

The spelling of 18960220800 in words is "eighteen billion, nine hundred sixty million, two hundred twenty thousand, eight hundred".