82518602688 has 224 divisors, whose sum is σ = 256105152000. Its totient is φ = 25982208000.

The previous prime is 82518602687. The next prime is 82518602689. The reversal of 82518602688 is 88620681528.

It is a happy number.

82518602688 is a `hidden beast` number, since 8 + 2 + 518 + 60 + 2 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82518602687) and next prime (82518602689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82518602687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11783188 + ... + 11790188.

Almost surely, 2^82518602688 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 82518602688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128052576000).

82518602688 is an abundant number, since it is smaller than the sum of its proper divisors (173586549312).

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

82518602688 is a wasteful number, since it uses less digits than its factorization.

82518602688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 82518602688 in words is "eighty-two billion, five hundred eighteen million, six hundred two thousand, six hundred eighty-eight".