82716658080 has 384 divisors, whose sum is σ = 315415296000. Its totient is φ = 17799450624.

The previous prime is 82716658027. The next prime is 82716658081. The reversal of 82716658080 is 8085661728.

It is not an unprimeable number, because it can be changed into a prime (82716658081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10401946 + ... + 10409894.

It is an arithmetic number, because the mean of its divisors is an integer number (821394000).

Almost surely, 2^82716658080 is an apocalyptic number.

82716658080 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 82716658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157707648000).

82716658080 is an abundant number, since it is smaller than the sum of its proper divisors (232698637920).

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

82716658080 is a wasteful number, since it uses less digits than its factorization.

82716658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 82716658080 in words is "eighty-two billion, seven hundred sixteen million, six hundred fifty-eight thousand, eighty".