82442303216000 has 1536 divisors, whose sum is σ = 280671640704000. Its totient is φ = 23763124224000.

The previous prime is 82442303215973. The next prime is 82442303216047. The reversal of 82442303216000 is 61230324428.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5371176326 + ... + 5371191674.

It is an arithmetic number, because the mean of its divisors is an integer number (182728932750).

Almost surely, 2^{82442303216000} is an apocalyptic number.

82442303216000 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 82442303216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140335820352000).

82442303216000 is an abundant number, since it is smaller than the sum of its proper divisors (198229337488000).

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

82442303216000 is a wasteful number, since it uses less digits than its factorization.

82442303216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 82442303216000 in words is "eighty-two trillion, four hundred forty-two billion, three hundred three million, two hundred sixteen thousand".