82585318226544 has 640 divisors, whose sum is σ = 280537564446720. Its totient is φ = 22773897667584.

The previous prime is 82585318226513. The next prime is 82585318226569. The reversal of 82585318226544 is 44562281358528.

82585318226544 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 5 + 3 + 1 + 82 + 2 + 6 + 544 = 666.

It is a super-2 number, since 2×82585318226544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3014379054 + ... + 3014406450.

It is an arithmetic number, because the mean of its divisors is an integer number (438339944448).

Almost surely, 2^{82585318226544} is an apocalyptic number.

82585318226544 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 82585318226544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140268782223360).

82585318226544 is an abundant number, since it is smaller than the sum of its proper divisors (197952246220176).

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

82585318226544 is a wasteful number, since it uses less digits than its factorization.

82585318226544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27762 (or 27750 counting only the distinct ones).

The product of its digits is 147456000, while the sum is 63.

The spelling of 82585318226544 in words is "eighty-two trillion, five hundred eighty-five billion, three hundred eighteen million, two hundred twenty-six thousand, five hundred forty-four".