82439697024 has 256 divisors, whose sum is σ = 248214470400. Its totient is φ = 26931916800.

The previous prime is 82439696987. The next prime is 82439697049. The reversal of 82439697024 is 42079693428.

82439697024 is a `hidden beast` number, since 82 + 439 + 69 + 70 + 2 + 4 = 666.

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

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, 35951622 + ... + 35953914.

It is an arithmetic number, because the mean of its divisors is an integer number (969587775).

Almost surely, 2^82439697024 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 82439697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124107235200).

82439697024 is an abundant number, since it is smaller than the sum of its proper divisors (165774773376).

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

82439697024 is a wasteful number, since it uses less digits than its factorization.

82439697024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82439697024 in words is "eighty-two billion, four hundred thirty-nine million, six hundred ninety-seven thousand, twenty-four".