82688805120 has 288 divisors, whose sum is σ = 291784695552. Its totient is φ = 19850592256.

The previous prime is 82688805107. The next prime is 82688805139. The reversal of 82688805120 is 2150888628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82688805120.

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, 1473904 + ... + 1528976.

It is an arithmetic number, because the mean of its divisors is an integer number (1013141304).

Almost surely, 2^82688805120 is an apocalyptic number.

82688805120 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 82688805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145892347776).

82688805120 is an abundant number, since it is smaller than the sum of its proper divisors (209095890432).

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

82688805120 is a wasteful number, since it uses less digits than its factorization.

82688805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55137 (or 55123 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 82688805120 in words is "eighty-two billion, six hundred eighty-eight million, eight hundred five thousand, one hundred twenty".