82438207488 has 960 divisors, whose sum is σ = 312550318080. Its totient is φ = 21069103104.

The previous prime is 82438207483. The next prime is 82438207547. The reversal of 82438207488 is 88470283428.

82438207488 is a `hidden beast` number, since 82 + 4 + 3 + 82 + 0 + 7 + 488 = 666.

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 (82438207483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 649119681 + ... + 649119807.

It is an arithmetic number, because the mean of its divisors is an integer number (325573248).

Almost surely, 2^82438207488 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 82438207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156275159040).

82438207488 is an abundant number, since it is smaller than the sum of its proper divisors (230112110592).

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

82438207488 is a wasteful number, since it uses less digits than its factorization.

82438207488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 82438207488 in words is "eighty-two billion, four hundred thirty-eight million, two hundred seven thousand, four hundred eighty-eight".