82578643224 has 256 divisors, whose sum is σ = 263184629760. Its totient is φ = 20968896000.

The previous prime is 82578643219. The next prime is 82578643261. The reversal of 82578643224 is 42234687528.

It is a happy number.

It is a Cunningham number, because it is equal to 287365²-1.

It is a super-2 number, since 2×82578643224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30459229 + ... + 30461939.

It is an arithmetic number, because the mean of its divisors is an integer number (1028064960).

Almost surely, 2^82578643224 is an apocalyptic number.

82578643224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82578643224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131592314880).

82578643224 is an abundant number, since it is smaller than the sum of its proper divisors (180605986536).

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

82578643224 is a wasteful number, since it uses less digits than its factorization.

82578643224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3098 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 82578643224 in words is "eighty-two billion, five hundred seventy-eight million, six hundred forty-three thousand, two hundred twenty-four".