20205314020 has 96 divisors (see below), whose sum is σ = 45634337280. Its totient is φ = 7491294720.

The previous prime is 20205313949. The next prime is 20205314021. The reversal of 20205314020 is 2041350202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (20205314021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8477749 + ... + 8480131.

It is an arithmetic number, because the mean of its divisors is an integer number (475357680).

Almost surely, 2^20205314020 is an apocalyptic number.

20205314020 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 20205314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817168640).

20205314020 is an abundant number, since it is smaller than the sum of its proper divisors (25429023260).

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

20205314020 is a wasteful number, since it uses less digits than its factorization.

20205314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 20205314020 its reverse (2041350202), we get a palindrome (22246664222).

The spelling of 20205314020 in words is "twenty billion, two hundred five million, three hundred fourteen thousand, twenty".