882536730516 has 648 divisors, whose sum is σ = 2793934975104. Its totient is φ = 233963976960.

The previous prime is 882536730511. The next prime is 882536730599. The reversal of 882536730516 is 615037635288.

882536730516 is a `hidden beast` number, since 8 + 8 + 2 + 53 + 6 + 73 + 0 + 516 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882536730511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8568317721 + ... + 8568317823.

It is an arithmetic number, because the mean of its divisors is an integer number (4311628048).

Almost surely, 2^882536730516 is an apocalyptic number.

882536730516 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882536730516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396967487552).

882536730516 is an abundant number, since it is smaller than the sum of its proper divisors (1911398244588).

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

882536730516 is a wasteful number, since it uses less digits than its factorization.

882536730516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 882536730516 in words is "eight hundred eighty-two billion, five hundred thirty-six million, seven hundred thirty thousand, five hundred sixteen".