87182684556 has 96 divisors (see below), whose sum is σ = 228815870976. Its totient is φ = 25607400000.

The previous prime is 87182684551. The next prime is 87182684591. The reversal of 87182684556 is 65548628178.

It is a self number, because there is not a number n which added to its sum of digits gives 87182684556.

It is not an unprimeable number, because it can be changed into a prime (87182684551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684931 + ... + 802181.

It is an arithmetic number, because the mean of its divisors is an integer number (2383498656).

Almost surely, 2^87182684556 is an apocalyptic number.

87182684556 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 87182684556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114407935488).

87182684556 is an abundant number, since it is smaller than the sum of its proper divisors (141633186420).

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

87182684556 is a wasteful number, since it uses less digits than its factorization.

87182684556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117443 (or 117441 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 87182684556 in words is "eighty-seven billion, one hundred eighty-two million, six hundred eighty-four thousand, five hundred fifty-six".