82715660352 has 672 divisors, whose sum is σ = 284091400320. Its totient is φ = 23648993280.

The previous prime is 82715660347. The next prime is 82715660359. The reversal of 82715660352 is 25306651728.

82715660352 is a `hidden beast` number, since 8 + 27 + 15 + 6 + 603 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82715660298 and 82715660307.

It is not an unprimeable number, because it can be changed into a prime (82715660359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234321808 + ... + 234322160.

It is an arithmetic number, because the mean of its divisors is an integer number (422755060).

Almost surely, 2^82715660352 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 82715660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142045700160).

82715660352 is an abundant number, since it is smaller than the sum of its proper divisors (201375739968).

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

82715660352 is a wasteful number, since it uses less digits than its factorization.

82715660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 82715660352 in words is "eighty-two billion, seven hundred fifteen million, six hundred sixty thousand, three hundred fifty-two".