820203827328 has 72 divisors (see below), whose sum is σ = 2360310408495. Its totient is φ = 273391029504.

The previous prime is 820203827293. The next prime is 820203827341. The reversal of 820203827328 is 823728302028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 410101913664 + 410101913664 = 640392^2 + 640392^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640392.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30725475 + ... + 30752157.

Almost surely, 2^820203827328 is an apocalyptic number.

It is an amenable number.

820203827328 is an abundant number, since it is smaller than the sum of its proper divisors (1540106581167).

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

820203827328 is an frugal number, since it uses more digits than its factorization.

820203827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53386 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 820203827328 in words is "eight hundred twenty billion, two hundred three million, eight hundred twenty-seven thousand, three hundred twenty-eight".