87865689600 has 1440 divisors, whose sum is σ = 366530228064. Its totient is φ = 20702822400.

The previous prime is 87865689581. The next prime is 87865689607. The reversal of 87865689600 is 698656878.

87865689600 is a `hidden beast` number, since 8 + 7 + 8 + 6 + 568 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87865689607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1657843174 + ... + 1657843226.

Almost surely, 2^87865689600 is an apocalyptic number.

87865689600 is a gapful number since it is divisible by the number (80) 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 87865689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183265114032).

87865689600 is an abundant number, since it is smaller than the sum of its proper divisors (278664538464).

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

87865689600 is a wasteful number, since it uses less digits than its factorization.

87865689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

It can be divided in two parts, 878656 and 89600, that added together give a square (968256 = 984²).

The spelling of 87865689600 in words is "eighty-seven billion, eight hundred sixty-five million, six hundred eighty-nine thousand, six hundred".