821475903528 has 128 divisors (see below), whose sum is σ = 2608560864000. Its totient is φ = 234644325120.

The previous prime is 821475903503. The next prime is 821475903529. The reversal of 821475903528 is 825309574128.

821475903528 is a `hidden beast` number, since 8 + 2 + 1 + 47 + 590 + 3 + 5 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (821475903529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5706258 + ... + 5848446.

It is an arithmetic number, because the mean of its divisors is an integer number (20379381750).

Almost surely, 2^821475903528 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 821475903528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304280432000).

821475903528 is an abundant number, since it is smaller than the sum of its proper divisors (1787084960472).

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

821475903528 is a wasteful number, since it uses less digits than its factorization.

821475903528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146032 (or 146022 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 821475903528 in words is "eight hundred twenty-one billion, four hundred seventy-five million, nine hundred three thousand, five hundred twenty-eight".