82262185488 has 360 divisors, whose sum is σ = 276622295040. Its totient is φ = 22739512320.

The previous prime is 82262185487. The next prime is 82262185519. The reversal of 82262185488 is 88458126228.

82262185488 is a `hidden beast` number, since 8 + 2 + 2 + 621 + 8 + 5 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×82262185488² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82262185487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36739473 + ... + 36741711.

It is an arithmetic number, because the mean of its divisors is an integer number (768395264).

Almost surely, 2^82262185488 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 82262185488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311147520).

82262185488 is an abundant number, since it is smaller than the sum of its proper divisors (194360109552).

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

82262185488 is a wasteful number, since it uses less digits than its factorization.

82262185488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2419 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 82262185488 in words is "eighty-two billion, two hundred sixty-two million, one hundred eighty-five thousand, four hundred eighty-eight".