820050478104 has 128 divisors (see below), whose sum is σ = 2410263475200. Its totient is φ = 229220597760.

The previous prime is 820050478033. The next prime is 820050478151. The reversal of 820050478104 is 401874050028.

It is a happy number.

820050478104 is digitally balanced in base 2 and base 4, because in such bases 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4750897 + ... + 4920479.

It is an arithmetic number, because the mean of its divisors is an integer number (18830183400).

Almost surely, 2^820050478104 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 820050478104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205131737600).

820050478104 is an abundant number, since it is smaller than the sum of its proper divisors (1590212997096).

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

820050478104 is a wasteful number, since it uses less digits than its factorization.

820050478104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171025 (or 171021 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 820050478104 in words is "eight hundred twenty billion, fifty million, four hundred seventy-eight thousand, one hundred four".