82775293216488 has 96 divisors (see below), whose sum is σ = 225625251900360. Its totient is φ = 27414289244160.

The previous prime is 82775293216487. The next prime is 82775293216507. The reversal of 82775293216488 is 88461239257728.

82775293216488 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 52 + 93 + 2 + 1 + 6 + 488 = 666.

82775293216488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50221855480644 + 32553437735844 = 7086738^2 + 5705562^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82775293216487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185354748 + ... + 185800788.

Almost surely, 2^{82775293216488} 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 82775293216488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112812625950180).

82775293216488 is an abundant number, since it is smaller than the sum of its proper divisors (142849958683872).

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

82775293216488 is a wasteful number, since it uses less digits than its factorization.

82775293216488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462627 (or 462620 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 82775293216488 in words is "eighty-two trillion, seven hundred seventy-five billion, two hundred ninety-three million, two hundred sixteen thousand, four hundred eighty-eight".