19828220719104 has 1248 divisors, whose sum is σ = 69831354816000. Its totient is φ = 5611906105344.

The previous prime is 19828220719093. The next prime is 19828220719117. The reversal of 19828220719104 is 40191702282891.

19828220719104 is a `hidden beast` number, since 198 + 282 + 2 + 0 + 71 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87348989839 + ... + 87348990065.

Almost surely, 2^{19828220719104} is an apocalyptic number.

19828220719104 is a gapful number since it is divisible by the number (14) 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 19828220719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34915677408000).

19828220719104 is an abundant number, since it is smaller than the sum of its proper divisors (50003134096896).

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

19828220719104 is an frugal number, since it uses more digits than its factorization.

19828220719104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 19828220719104 in words is "nineteen trillion, eight hundred twenty-eight billion, two hundred twenty million, seven hundred nineteen thousand, one hundred four".