86828051556 has 81 divisors (see below), whose sum is σ = 223111143801. Its totient is φ = 28471807584.

The previous prime is 86828051551. The next prime is 86828051573. The reversal of 86828051556 is 65515082868.

The square root of 86828051556 is 294666.

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

86828051556 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 80 + 5 + 1 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84943102500 + 1884949056 = 291450^2 + 43416^2 .

It is a super-2 number, since 2×86828051556² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86828051551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118455366 + ... + 118456098.

Almost surely, 2^86828051556 is an apocalyptic number.

86828051556 is the 294666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86828051556

86828051556 is an abundant number, since it is smaller than the sum of its proper divisors (136283092245).

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

86828051556 is an equidigital number, since it uses as much as digits as its factorization.

86828051556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 86828051556 in words is "eighty-six billion, eight hundred twenty-eight million, fifty-one thousand, five hundred fifty-six".