18821769120000 has 2160 divisors, whose sum is σ = 87691416164352. Its totient is φ = 3910394880000.

The previous prime is 18821769119981. The next prime is 18821769120019. The reversal of 18821769120000 is 2196712881.

It is an interprime number because it is at equal distance from previous prime (18821769119981) and next prime (18821769120019).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 2993756857 + ... + 2993763143.

Almost surely, 2^{18821769120000} is an apocalyptic number.

18821769120000 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 18821769120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43845708082176).

18821769120000 is an abundant number, since it is smaller than the sum of its proper divisors (68869647044352).

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

18821769120000 is an frugal number, since it uses more digits than its factorization.

18821769120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18821769120000 in words is "eighteen trillion, eight hundred twenty-one billion, seven hundred sixty-nine million, one hundred twenty thousand".