821528580096 has 416 divisors, whose sum is σ = 2808834129920. Its totient is φ = 232421031936.

The previous prime is 821528580029. The next prime is 821528580107. The reversal of 821528580096 is 690085825128.

It is a happy number.

821528580096 is a `hidden beast` number, since 8 + 2 + 1 + 52 + 8 + 580 + 0 + 9 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 79731681 + ... + 79741983.

It is an arithmetic number, because the mean of its divisors is an integer number (6752005120).

Almost surely, 2^821528580096 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 821528580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404417064960).

821528580096 is an abundant number, since it is smaller than the sum of its proper divisors (1987305549824).

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

821528580096 is a wasteful number, since it uses less digits than its factorization.

821528580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 821528580096 in words is "eight hundred twenty-one billion, five hundred twenty-eight million, five hundred eighty thousand, ninety-six".