87563816442 has 96 divisors (see below), whose sum is σ = 209328537600. Its totient is φ = 26330347296.

The previous prime is 87563816441. The next prime is 87563816447. The reversal of 87563816442 is 24461836578.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87563816441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729159 + ... + 1779077.

It is an arithmetic number, because the mean of its divisors is an integer number (2180505600).

Almost surely, 2^87563816442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87563816442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104664268800).

87563816442 is an abundant number, since it is smaller than the sum of its proper divisors (121764721158).

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

87563816442 is a wasteful number, since it uses less digits than its factorization.

87563816442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50192 (or 50189 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 87563816442 in words is "eighty-seven billion, five hundred sixty-three million, eight hundred sixteen thousand, four hundred forty-two".