19821322560000 has 800 divisors, whose sum is σ = 71181543964608. Its totient is φ = 4870840320000.

The previous prime is 19821322559963. The next prime is 19821322560029. The reversal of 19821322560000 is 6522312891.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10944959095 + ... + 10944960905.

Almost surely, 2^{19821322560000} is an apocalyptic number.

19821322560000 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 19821322560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35590771982304).

19821322560000 is an abundant number, since it is smaller than the sum of its proper divisors (51360221404608).

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

19821322560000 is an equidigital number, since it uses as much as digits as its factorization.

19821322560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 19821322560000 its reverse (6522312891), we get a palindrome (19827844872891).

The spelling of 19821322560000 in words is "nineteen trillion, eight hundred twenty-one billion, three hundred twenty-two million, five hundred sixty thousand".