82687562856 has 128 divisors (see below), whose sum is σ = 235280448000. Its totient is φ = 26894923776.

The previous prime is 82687562833. The next prime is 82687562873. The reversal of 82687562856 is 65826578628.

82687562856 is a `hidden beast` number, since 8 + 2 + 68 + 7 + 562 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82687562793 and 82687562802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3409140 + ... + 3433308.

It is an arithmetic number, because the mean of its divisors is an integer number (1838128500).

Almost surely, 2^82687562856 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 82687562856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117640224000).

82687562856 is an abundant number, since it is smaller than the sum of its proper divisors (152592885144).

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

82687562856 is a wasteful number, since it uses less digits than its factorization.

82687562856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24568 (or 24558 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 82687562856 in words is "eighty-two billion, six hundred eighty-seven million, five hundred sixty-two thousand, eight hundred fifty-six".