19221489967680 has 5376 divisors, whose sum is σ = 99577685975040. Its totient is φ = 3396855398400.

The previous prime is 19221489967651. The next prime is 19221489967711. The reversal of 19221489967680 is 8676998412291.

19221489967680 is a `hidden beast` number, since 1 + 9 + 2 + 2 + 1 + 489 + 9 + 67 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19221489967599 and 19221489967608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 60635614882 + ... + 60635615198.

It is an arithmetic number, because the mean of its divisors is an integer number (18522635040).

Almost surely, 2^{19221489967680} is an apocalyptic number.

19221489967680 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 19221489967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49788842987520).

19221489967680 is an abundant number, since it is smaller than the sum of its proper divisors (80356196007360).

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

19221489967680 is a wasteful number, since it uses less digits than its factorization.

19221489967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 19221489967680 in words is "nineteen trillion, two hundred twenty-one billion, four hundred eighty-nine million, nine hundred sixty-seven thousand, six hundred eighty".