20507605008 has 320 divisors, whose sum is σ = 63265950720. Its totient is φ = 5656780800.

The previous prime is 20507605007. The next prime is 20507605009. The reversal of 20507605008 is 80050670502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20507605007) and next prime (20507605009).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 20507605008.

It is not an unprimeable number, because it can be changed into a prime (20507605003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30025435 + ... + 30026117.

It is an arithmetic number, because the mean of its divisors is an integer number (197706096).

Almost surely, 2^20507605008 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 20507605008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632975360).

20507605008 is an abundant number, since it is smaller than the sum of its proper divisors (42758345712).

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

20507605008 is a wasteful number, since it uses less digits than its factorization.

20507605008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 20507605008 in words is "twenty billion, five hundred seven million, six hundred five thousand, eight".