82226782941600 has 1728 divisors, whose sum is σ = 325927027335168. Its totient is φ = 17896594636800.

The previous prime is 82226782941587. The next prime is 82226782941629. The reversal of 82226782941600 is 614928762228.

It is a super-2 number, since 2×82226782941600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55297096057 + ... + 55297097543.

It is an arithmetic number, because the mean of its divisors is an integer number (188615177856).

Almost surely, 2^{82226782941600} is an apocalyptic number.

82226782941600 is a gapful number since it is divisible by the number (80) 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 82226782941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162963513667584).

82226782941600 is an abundant number, since it is smaller than the sum of its proper divisors (243700244393568).

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

82226782941600 is a wasteful number, since it uses less digits than its factorization.

82226782941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 82226782941600 in words is "eighty-two trillion, two hundred twenty-six billion, seven hundred eighty-two million, nine hundred forty-one thousand, six hundred".