820538516208 has 40 divisors (see below), whose sum is σ = 2131435707856. Its totient is φ = 272001715200.

The previous prime is 820538516207. The next prime is 820538516219. The reversal of 820538516208 is 802615835028.

820538516208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820538516207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47213833 + ... + 47231208.

Almost surely, 2^820538516208 is an apocalyptic number.

It is an amenable number.

820538516208 is an abundant number, since it is smaller than the sum of its proper divisors (1310897191648).

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

820538516208 is a wasteful number, since it uses less digits than its factorization.

820538516208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94445233 (or 94445227 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 820538516208 in words is "eight hundred twenty billion, five hundred thirty-eight million, five hundred sixteen thousand, two hundred eight".