82866339840 has 320 divisors, whose sum is σ = 272696608800. Its totient is φ = 21474836480.

The previous prime is 82866339827. The next prime is 82866339901. The reversal of 82866339840 is 4893366828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322436992 + ... + 322437248.

Almost surely, 2^82866339840 is an apocalyptic number.

82866339840 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 82866339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136348304400).

82866339840 is an abundant number, since it is smaller than the sum of its proper divisors (189830268960).

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

82866339840 is an frugal number, since it uses more digits than its factorization.

82866339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 82866339840 in words is "eighty-two billion, eight hundred sixty-six million, three hundred thirty-nine thousand, eight hundred forty".