882096640000 has 195 divisors, whose sum is σ = 2208028350847. Its totient is φ = 352237568000.

The previous prime is 882096639989. The next prime is 882096640001. The reversal of 882096640000 is 46690288.

It is a happy number.

The square root of 882096640000 is 939200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 69156376576 + 812940263424 = 262976^2 + 901632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (882096640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1502719707 + ... + 1502720293.

Almost surely, 2^882096640000 is an apocalyptic number.

882096640000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

882096640000 is the 939200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882096640000

882096640000 is an abundant number, since it is smaller than the sum of its proper divisors (1325931710847).

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

882096640000 is an frugal number, since it uses more digits than its factorization.

882096640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 882096640000 in words is "eight hundred eighty-two billion, ninety-six million, six hundred forty thousand".