19228920480000 has 2520 divisors, whose sum is σ = 89698007399616. Its totient is φ = 3993753600000.

The previous prime is 19228920479999. The next prime is 19228920480043. The reversal of 19228920480000 is 8402982291.

It is a happy number.

19228920480000 is a `hidden beast` number, since 1 + 92 + 2 + 89 + 2 + 0 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 8981278930 + ... + 8981281070.

Almost surely, 2^{19228920480000} is an apocalyptic number.

19228920480000 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 19228920480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849003699808).

19228920480000 is an abundant number, since it is smaller than the sum of its proper divisors (70469086919616).

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

19228920480000 is an frugal number, since it uses more digits than its factorization.

19228920480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19228920480000 in words is "nineteen trillion, two hundred twenty-eight billion, nine hundred twenty million, four hundred eighty thousand".