82323226910288 has 480 divisors, whose sum is σ = 207732704256000. Its totient is φ = 31292765199360.

The previous prime is 82323226910207. The next prime is 82323226910347. The reversal of 82323226910288 is 88201962232328.

It is a super-2 number, since 2×82323226910288² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27450224213 + ... + 27450227211.

It is an arithmetic number, because the mean of its divisors is an integer number (432776467200).

Almost surely, 2^{82323226910288} 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 82323226910288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103866352128000).

82323226910288 is an abundant number, since it is smaller than the sum of its proper divisors (125409477345712).

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

82323226910288 is a wasteful number, since it uses less digits than its factorization.

82323226910288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 82323226910288 in words is "eighty-two trillion, three hundred twenty-three billion, two hundred twenty-six million, nine hundred ten thousand, two hundred eighty-eight".