81829398528 has 336 divisors, whose sum is σ = 256089375360. Its totient is φ = 26079584256.

The previous prime is 81829398503. The next prime is 81829398613. The reversal of 81829398528 is 82589392818.

81829398528 is a `hidden beast` number, since 8 + 18 + 2 + 9 + 3 + 98 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 34337625 + ... + 34340007.

It is an arithmetic number, because the mean of its divisors is an integer number (762170760).

Almost surely, 2^81829398528 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 81829398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044687680).

81829398528 is an abundant number, since it is smaller than the sum of its proper divisors (174259976832).

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

81829398528 is an equidigital number, since it uses as much as digits as its factorization.

81829398528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2411 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 81829398528 in words is "eighty-one billion, eight hundred twenty-nine million, three hundred ninety-eight thousand, five hundred twenty-eight".