82368388080 has 1080 divisors, whose sum is σ = 336214949616. Its totient is φ = 18722119680.

The previous prime is 82368388079. The next prime is 82368388093. The reversal of 82368388080 is 8088386328.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 849158592 + ... + 849158688.

Almost surely, 2^82368388080 is an apocalyptic number.

82368388080 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 82368388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168107474808).

82368388080 is an abundant number, since it is smaller than the sum of its proper divisors (253846561536).

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

82368388080 is a wasteful number, since it uses less digits than its factorization.

82368388080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 82368388080 in words is "eighty-two billion, three hundred sixty-eight million, three hundred eighty-eight thousand, eighty".