8001000020 has 192 divisors, whose sum is σ = 19671253056. Its totient is φ = 2707292160.

The previous prime is 8001000017. The next prime is 8001000023. The reversal of 8001000020 is 200001008.

It is an interprime number because it is at equal distance from previous prime (8001000017) and next prime (8001000023).

It can be written as a sum of positive squares in 32 ways, for example, as 6761115076 + 1239884944 = 82226^2 + 35212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8000999965 and 8001000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001000023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44204330 + ... + 44204510.

It is an arithmetic number, because the mean of its divisors is an integer number (102454443).

Almost surely, 2^8001000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835626528).

8001000020 is an abundant number, since it is smaller than the sum of its proper divisors (11670253036).

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

8001000020 is a wasteful number, since it uses less digits than its factorization.

8001000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8001000020 is about 89448.3092070499. The cubic root of 8001000020 is about 2000.0833315279.

Adding to 8001000020 its reverse (200001008), we get a palindrome (8201001028).

The spelling of 8001000020 in words is "eight billion, one million, twenty", and thus it is an aban number and an uban number.