20302420320 has 288 divisors, whose sum is σ = 85270715712. Its totient is φ = 4283559936.

The previous prime is 20302420319. The next prime is 20302420399. The reversal of 20302420320 is 2302420302.

20302420320 is a `hidden beast` number, since 2 + 0 + 302 + 42 + 0 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20302420293 and 20302420302.

It is a congruent number.

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, 53574 + ... + 208506.

It is an arithmetic number, because the mean of its divisors is an integer number (296078874).

Almost surely, 2^20302420320 is an apocalyptic number.

20302420320 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 20302420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42635357856).

20302420320 is an abundant number, since it is smaller than the sum of its proper divisors (64968295392).

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

20302420320 is a wasteful number, since it uses less digits than its factorization.

20302420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154974 (or 154963 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Subtracting from 20302420320 its sum of digits (18), we obtain a palindrome (20302420302).

Adding to 20302420320 its reverse (2302420302), we get a palindrome (22604840622).

The spelling of 20302420320 in words is "twenty billion, three hundred two million, four hundred twenty thousand, three hundred twenty".