19887928680480 has 384 divisors, whose sum is σ = 73937961216000. Its totient is φ = 4491040361472.

The previous prime is 19887928680469. The next prime is 19887928680511. The reversal of 19887928680480 is 8408682978891.

It is a junction number, because it is equal to n+sod(n) for n = 19887928680396 and 19887928680405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12937431 + ... + 14392809.

It is an arithmetic number, because the mean of its divisors is an integer number (192546774000).

Almost surely, 2^{19887928680480} is an apocalyptic number.

19887928680480 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 19887928680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36968980608000).

19887928680480 is an abundant number, since it is smaller than the sum of its proper divisors (54050032535520).

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

19887928680480 is a wasteful number, since it uses less digits than its factorization.

19887928680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455501 (or 1455479 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 78.

The spelling of 19887928680480 in words is "nineteen trillion, eight hundred eighty-seven billion, nine hundred twenty-eight million, six hundred eighty thousand, four hundred eighty".