882090920116224 has 2736 divisors, whose sum is σ = 3373021302094080. Its totient is φ = 221050935705600.

The previous prime is 882090920116199. The next prime is 882090920116303. The reversal of 882090920116224 is 422611029090288.

882090920116224 is a `hidden beast` number, since 8 + 8 + 2 + 0 + 9 + 0 + 9 + 2 + 0 + 1 + 1 + 622 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5841661722549 + ... + 5841661722699.

It is an arithmetic number, because the mean of its divisors is an integer number (1232829423280).

Almost surely, 2^{882090920116224} is an apocalyptic number.

882090920116224 is a gapful number since it is divisible by the number (84) 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 882090920116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686510651047040).

882090920116224 is an abundant number, since it is smaller than the sum of its proper divisors (2490930381977856).

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

882090920116224 is an equidigital number, since it uses as much as digits as its factorization.

882090920116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 882090920116224 in words is "eight hundred eighty-two trillion, ninety billion, nine hundred twenty million, one hundred sixteen thousand, two hundred twenty-four".