19864784160 has 288 divisors, whose sum is σ = 73304889840. Its totient is φ = 4869586944.

The previous prime is 19864784123. The next prime is 19864784179. The reversal of 19864784160 is 6148746891.

19864784160 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 478 + 4 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11723692176 + 8141091984 = 108276^2 + 90228^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 19864784097 and 19864784106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4808976 + ... + 4813104.

Almost surely, 2^19864784160 is an apocalyptic number.

19864784160 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 19864784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36652444920).

19864784160 is an abundant number, since it is smaller than the sum of its proper divisors (53440105680).

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

19864784160 is a wasteful number, since it uses less digits than its factorization.

19864784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19864784160 in words is "nineteen billion, eight hundred sixty-four million, seven hundred eighty-four thousand, one hundred sixty".