87285852800 has 48 divisors (see below), whose sum is σ = 215623341150. Its totient is φ = 34914339840.

The previous prime is 87285852763. The next prime is 87285852803. The reversal of 87285852800 is 825858278.

It can be written as a sum of positive squares in 3 ways, for example, as 38168655424 + 49117197376 = 195368^2 + 221624^2 .

It is not an unprimeable number, because it can be changed into a prime (87285852803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13635215 + ... + 13641614.

Almost surely, 2^87285852800 is an apocalyptic number.

87285852800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87285852800 is an abundant number, since it is smaller than the sum of its proper divisors (128337488350).

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

87285852800 is a wasteful number, since it uses less digits than its factorization.

87285852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27276853 (or 27276836 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 53.

The spelling of 87285852800 in words is "eighty-seven billion, two hundred eighty-five million, eight hundred fifty-two thousand, eight hundred".