82560827556 has 189 divisors, whose sum is σ = 230852712531. Its totient is φ = 25818683904.

The previous prime is 82560827549. The next prime is 82560827627. The reversal of 82560827556 is 65572806528.

The square root of 82560827556 is 287334.

It is a perfect power (a square), and thus also a powerful number.

82560827556 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 0 + 82 + 7 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13118037156 + 69442790400 = 114534^2 + 263520^2 .

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 62 ways as a sum of consecutive naturals, for example, 263772456 + ... + 263772768.

Almost surely, 2^82560827556 is an apocalyptic number.

82560827556 is the 287334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82560827556

82560827556 is an abundant number, since it is smaller than the sum of its proper divisors (148291884975).

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

82560827556 is an equidigital number, since it uses as much as digits as its factorization.

82560827556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

It can be divided in two parts, 82560 and 827556, that added together give a square (910116 = 954²).

The spelling of 82560827556 in words is "eighty-two billion, five hundred sixty million, eight hundred twenty-seven thousand, five hundred fifty-six".