20205240000 has 280 divisors, whose sum is σ = 72881020608. Its totient is φ = 4897920000.

The previous prime is 20205239983. The next prime is 20205240043. The reversal of 20205240000 is 4250202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1312347 + ... + 1327653.

Almost surely, 2^20205240000 is an apocalyptic number.

20205240000 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 20205240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36440510304).

20205240000 is an abundant number, since it is smaller than the sum of its proper divisors (52675780608).

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

20205240000 is a wasteful number, since it uses less digits than its factorization.

20205240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 20205240000 its reverse (4250202), we get a palindrome (20209490202).

The spelling of 20205240000 in words is "twenty billion, two hundred five million, two hundred forty thousand".