82371883776 has 1152 divisors, whose sum is σ = 311525222400. Its totient is φ = 18685624320.

The previous prime is 82371883739. The next prime is 82371883799. The reversal of 82371883776 is 67738817328.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 925526740 + ... + 925526828.

It is an arithmetic number, because the mean of its divisors is an integer number (270421200).

Almost surely, 2^82371883776 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 82371883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155762611200).

82371883776 is an abundant number, since it is smaller than the sum of its proper divisors (229153338624).

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

82371883776 is a wasteful number, since it uses less digits than its factorization.

82371883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 60.

The spelling of 82371883776 in words is "eighty-two billion, three hundred seventy-one million, eight hundred eighty-three thousand, seven hundred seventy-six".