20205863040 has 256 divisors, whose sum is σ = 70572902400. Its totient is φ = 4876677120.

The previous prime is 20205863033. The next prime is 20205863141. The reversal of 20205863040 is 4036850202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20205862989 and 20205863007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045679 + ... + 5049681.

It is an arithmetic number, because the mean of its divisors is an integer number (275675400).

Almost surely, 2^20205863040 is an apocalyptic number.

20205863040 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 20205863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35286451200).

20205863040 is an abundant number, since it is smaller than the sum of its proper divisors (50367039360).

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

20205863040 is a wasteful number, since it uses less digits than its factorization.

20205863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20205863040 in words is "twenty billion, two hundred five million, eight hundred sixty-three thousand, forty".