20019456000 has 288 divisors, whose sum is σ = 72167495400. Its totient is φ = 5337907200.

The previous prime is 20019455987. The next prime is 20019456011. The reversal of 20019456000 is 65491002.

20019456000 is a `hidden beast` number, since 2 + 0 + 0 + 19 + 45 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10374644736 + 9644811264 = 101856^2 + 98208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299656 + ... + 2308344.

Almost surely, 2^20019456000 is an apocalyptic number.

20019456000 is a gapful number since it is divisible by the number (20) 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 20019456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36083747700).

20019456000 is an abundant number, since it is smaller than the sum of its proper divisors (52148039400).

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

20019456000 is an equidigital number, since it uses as much as digits as its factorization.

20019456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20019456000 in words is "twenty billion, nineteen million, four hundred fifty-six thousand".