82586850816960 has 1792 divisors, whose sum is σ = 352857157632000. Its totient is φ = 18162347212800.

The previous prime is 82586850816937. The next prime is 82586850816989. The reversal of 82586850816960 is 6961805868528.

82586850816960 is a `hidden beast` number, since 8 + 2 + 58 + 6 + 8 + 508 + 1 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8869810705 + ... + 8869820015.

It is an arithmetic number, because the mean of its divisors is an integer number (196906896000).

Almost surely, 2^{82586850816960} is an apocalyptic number.

82586850816960 is a gapful number since it is divisible by the number (80) 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 82586850816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176428578816000).

82586850816960 is an abundant number, since it is smaller than the sum of its proper divisors (270270306815040).

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

82586850816960 is a wasteful number, since it uses less digits than its factorization.

82586850816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 82586850816960 in words is "eighty-two trillion, five hundred eighty-six billion, eight hundred fifty million, eight hundred sixteen thousand, nine hundred sixty".