82099809792 has 1280 divisors, whose sum is σ = 346477824000. Its totient is φ = 18473287680.

The previous prime is 82099809787. The next prime is 82099809793. The reversal of 82099809792 is 29790899028.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82099809793) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235242834 + ... + 235243182.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 2^82099809792 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 82099809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912000).

82099809792 is an abundant number, since it is smaller than the sum of its proper divisors (264378014208).

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

82099809792 is a wasteful number, since it uses less digits than its factorization.

82099809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 82099809792 in words is "eighty-two billion, ninety-nine million, eight hundred nine thousand, seven hundred ninety-two".