820328658552 has 576 divisors, whose sum is σ = 2564979056640. Its totient is φ = 235289940480.

The previous prime is 820328658533. The next prime is 820328658559. The reversal of 820328658552 is 255856823028.

820328658552 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 2 + 8 + 6 + 585 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820328658559) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4912147573 + ... + 4912147739.

It is an arithmetic number, because the mean of its divisors is an integer number (4453088640).

Almost surely, 2^820328658552 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 820328658552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282489528320).

820328658552 is an abundant number, since it is smaller than the sum of its proper divisors (1744650398088).

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

820328658552 is a wasteful number, since it uses less digits than its factorization.

820328658552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 820328658552 in words is "eight hundred twenty billion, three hundred twenty-eight million, six hundred fifty-eight thousand, five hundred fifty-two".