87082568336 has 80 divisors (see below), whose sum is σ = 181275116400. Its totient is φ = 40443346944.

The previous prime is 87082568327. The next prime is 87082568359. The reversal of 87082568336 is 63386528078.

It can be written as a sum of positive squares in 8 ways, for example, as 5204179600 + 81878388736 = 72140^2 + 286144^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1499456 + ... + 1556448.

It is an arithmetic number, because the mean of its divisors is an integer number (2265938955).

Almost surely, 2^87082568336 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 87082568336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90637558200).

87082568336 is an abundant number, since it is smaller than the sum of its proper divisors (94192548064).

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

87082568336 is a wasteful number, since it uses less digits than its factorization.

87082568336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57156 (or 57150 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 87082568336 in words is "eighty-seven billion, eighty-two million, five hundred sixty-eight thousand, three hundred thirty-six".