20384508418560 has 3520 divisors, whose sum is σ = 92065740915456. Its totient is φ = 4256818790400.

The previous prime is 20384508418559. The next prime is 20384508418609. The reversal of 20384508418560 is 6581480548302.

20384508418560 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 450 + 8 + 4 + 185 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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

It is a junction number, because it is equal to n+sod(n) for n = 20384508418497 and 20384508418506.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 497183132140 + ... + 497183132180.

Almost surely, 2^{20384508418560} is an apocalyptic number.

20384508418560 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 20384508418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032870457728).

20384508418560 is an abundant number, since it is smaller than the sum of its proper divisors (71681232496896).

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

20384508418560 is an equidigital number, since it uses as much as digits as its factorization.

20384508418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 20384508418560 in words is "twenty trillion, three hundred eighty-four billion, five hundred eight million, four hundred eighteen thousand, five hundred sixty".