20201287680 has 832 divisors, whose sum is σ = 87188935680. Its totient is φ = 4331667456.

The previous prime is 20201287679. The next prime is 20201287681. The reversal of 20201287680 is 8678210202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20201287679) and next prime (20201287681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20201287681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65802087 + ... + 65802393.

Almost surely, 2^20201287680 is an apocalyptic number.

20201287680 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 20201287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43594467840).

20201287680 is an abundant number, since it is smaller than the sum of its proper divisors (66987648000).

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

20201287680 is a wasteful number, since it uses less digits than its factorization.

20201287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 20201287680 its reverse (8678210202), we get a palindrome (28879497882).

The spelling of 20201287680 in words is "twenty billion, two hundred one million, two hundred eighty-seven thousand, six hundred eighty".