82565601696 has 480 divisors, whose sum is σ = 264465653760. Its totient is φ = 25184162304.

The previous prime is 82565601623. The next prime is 82565601737. The reversal of 82565601696 is 69610656528.

82565601696 is a `hidden beast` number, since 8 + 2 + 565 + 60 + 16 + 9 + 6 = 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 79 ways as a sum of consecutive naturals, for example, 268943175 + ... + 268943481.

It is an arithmetic number, because the mean of its divisors is an integer number (550970112).

Almost surely, 2^82565601696 is an apocalyptic number.

82565601696 is a gapful number since it is divisible by the number (86) 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 82565601696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132232826880).

82565601696 is an abundant number, since it is smaller than the sum of its proper divisors (181900052064).

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

82565601696 is a wasteful number, since it uses less digits than its factorization.

82565601696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 82565601696 in words is "eighty-two billion, five hundred sixty-five million, six hundred one thousand, six hundred ninety-six".