19882942464000 has 3264 divisors, whose sum is σ = 89509119897600. Its totient is φ = 3864526848000.

The previous prime is 19882942463939. The next prime is 19882942464001. The reversal of 19882942464000 is 46424928891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (19882942464001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251682815961 + ... + 251682816039.

Almost surely, 2^{19882942464000} is an apocalyptic number.

19882942464000 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 19882942464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44754559948800).

19882942464000 is an abundant number, since it is smaller than the sum of its proper divisors (69626177433600).

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

19882942464000 is an equidigital number, since it uses as much as digits as its factorization.

19882942464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 19882942464000 in words is "nineteen trillion, eight hundred eighty-two billion, nine hundred forty-two million, four hundred sixty-four thousand".