19813911828480 has 2304 divisors, whose sum is σ = 92284448256000. Its totient is φ = 3983435366400.

The previous prime is 19813911828421. The next prime is 19813911828569. The reversal of 19813911828480 is 8482811931891.

19813911828480 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 39 + 118 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×19813911828480³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4619702176 + ... + 4619706464.

It is an arithmetic number, because the mean of its divisors is an integer number (40054014000).

Almost surely, 2^{19813911828480} is an apocalyptic number.

19813911828480 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 19813911828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46142224128000).

19813911828480 is an abundant number, since it is smaller than the sum of its proper divisors (72470536427520).

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

19813911828480 is a wasteful number, since it uses less digits than its factorization.

19813911828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 19813911828480 in words is "nineteen trillion, eight hundred thirteen billion, nine hundred eleven million, eight hundred twenty-eight thousand, four hundred eighty".