820033261950 has 96 divisors (see below), whose sum is σ = 2327726730240. Its totient is φ = 187152451200.

The previous prime is 820033261937. The next prime is 820033262003. The reversal of 820033261950 is 59162330028.

It is a junction number, because it is equal to n+sod(n) for n = 820033261899 and 820033261908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103291 + ... + 1284809.

It is an arithmetic number, because the mean of its divisors is an integer number (24247153440).

Almost surely, 2^820033261950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820033261950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163863365120).

820033261950 is an abundant number, since it is smaller than the sum of its proper divisors (1507693468290).

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

820033261950 is a wasteful number, since it uses less digits than its factorization.

820033261950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182202 (or 1182197 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 820033261950 its reverse (59162330028), we get a palindrome (879195591978).

The spelling of 820033261950 in words is "eight hundred twenty billion, thirty-three million, two hundred sixty-one thousand, nine hundred fifty".