820575575028 has 192 divisors, whose sum is σ = 2384986813440. Its totient is φ = 241792387200.

The previous prime is 820575575003. The next prime is 820575575051.

820575575028 is a `hidden beast` number, since 82 + 0 + 5 + 7 + 5 + 57 + 502 + 8 = 666.

820575575028 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88390875 + ... + 88400157.

It is an arithmetic number, because the mean of its divisors is an integer number (12421806320).

Almost surely, 2^820575575028 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 820575575028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192493406720).

820575575028 is an abundant number, since it is smaller than the sum of its proper divisors (1564411238412).

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

820575575028 is a wasteful number, since it uses less digits than its factorization.

820575575028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11347 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 820575575028 in words is "eight hundred twenty billion, five hundred seventy-five million, five hundred seventy-five thousand, twenty-eight".