20300344020 has 288 divisors, whose sum is σ = 68440619520. Its totient is φ = 4829460480.

The previous prime is 20300344013. The next prime is 20300344049. The reversal of 20300344020 is 2044300302.

20300344020 is a `hidden beast` number, since 2 + 0 + 300 + 344 + 0 + 20 = 666.

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 = 20300343984 and 20300344002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36445582 + ... + 36446138.

It is an arithmetic number, because the mean of its divisors is an integer number (237641040).

Almost surely, 2^20300344020 is an apocalyptic number.

20300344020 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 20300344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220309760).

20300344020 is an abundant number, since it is smaller than the sum of its proper divisors (48140275500).

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

20300344020 is a wasteful number, since it uses less digits than its factorization.

20300344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

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

Adding to 20300344020 its reverse (2044300302), we get a palindrome (22344644322).

The spelling of 20300344020 in words is "twenty billion, three hundred million, three hundred forty-four thousand, twenty".