820573669188 has 864 divisors, whose sum is σ = 2920637865600. Its totient is φ = 191335882752.

The previous prime is 820573669159. The next prime is 820573669229. The reversal of 820573669188 is 881966375028.

It is a super-2 number, since 2×820573669188² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1029577606 + ... + 1029578402.

It is an arithmetic number, because the mean of its divisors is an integer number (3380367900).

Almost surely, 2^820573669188 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 820573669188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460318932800).

820573669188 is an abundant number, since it is smaller than the sum of its proper divisors (2100064196412).

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

820573669188 is a wasteful number, since it uses less digits than its factorization.

820573669188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 820573669188 in words is "eight hundred twenty billion, five hundred seventy-three million, six hundred sixty-nine thousand, one hundred eighty-eight".