82406200000 has 84 divisors (see below), whose sum is σ = 204393417984. Its totient is φ = 32962400000.

The previous prime is 82406199949. The next prime is 82406200007. The reversal of 82406200000 is 260428.

It is not an unprimeable number, because it can be changed into a prime (82406200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6016 + ... + 406015.

It is an arithmetic number, because the mean of its divisors is an integer number (2433254976).

Almost surely, 2^82406200000 is an apocalyptic number.

82406200000 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 82406200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102196708992).

82406200000 is an abundant number, since it is smaller than the sum of its proper divisors (121987217984).

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

82406200000 is an frugal number, since it uses more digits than its factorization.

82406200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412068 (or 412038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 82406200000 its reverse (260428), we get a palindrome (82406460428).

The spelling of 82406200000 in words is "eighty-two billion, four hundred six million, two hundred thousand".