82955575680 has 256 divisors, whose sum is σ = 279030873600. Its totient is φ = 20920942592.

The previous prime is 82955575603. The next prime is 82955575709. The reversal of 82955575680 is 8657555928.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919687 + ... + 3940793.

It is an arithmetic number, because the mean of its divisors is an integer number (1089964350).

Almost surely, 2^82955575680 is an apocalyptic number.

82955575680 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 82955575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139515436800).

82955575680 is an abundant number, since it is smaller than the sum of its proper divisors (196075297920).

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

82955575680 is a wasteful number, since it uses less digits than its factorization.

82955575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21241 (or 21229 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 60.

The spelling of 82955575680 in words is "eighty-two billion, nine hundred fifty-five million, five hundred seventy-five thousand, six hundred eighty".