82733570226300 has 288 divisors, whose sum is σ = 282292057152000. Its totient is φ = 18698050398720.

The previous prime is 82733570226233. The next prime is 82733570226397. The reversal of 82733570226300 is 362207533728.

It is a happy number.

It is a super-2 number, since 2×82733570226300² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82733570226300.

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, 4641139 + ... + 13675061.

It is an arithmetic number, because the mean of its divisors is an integer number (980180754000).

Almost surely, 2^{82733570226300} 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 82733570226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141146028576000).

82733570226300 is an abundant number, since it is smaller than the sum of its proper divisors (199558486925700).

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

82733570226300 is a wasteful number, since it uses less digits than its factorization.

82733570226300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034050 (or 9034029 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 82733570226300 in words is "eighty-two trillion, seven hundred thirty-three billion, five hundred seventy million, two hundred twenty-six thousand, three hundred".