820583607550 has 24 divisors (see below), whose sum is σ = 1744326297936. Its totient is φ = 281342951040.

The previous prime is 820583607539. The next prime is 820583607563. The reversal of 820583607550 is 55706385028.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 820583607494 and 820583607503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172261947 + ... + 1172262646.

It is an arithmetic number, because the mean of its divisors is an integer number (72680262414).

Almost surely, 2^820583607550 is an apocalyptic number.

820583607550 is an abundant number, since it is smaller than the sum of its proper divisors (923742690386).

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

820583607550 is a wasteful number, since it uses less digits than its factorization.

820583607550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344524612 (or 2344524607 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 820583607550 in words is "eight hundred twenty billion, five hundred eighty-three million, six hundred seven thousand, five hundred fifty".